x ^ 4 - 3x ^ 3 + 5x - 6) * (x + 2) ^ - 1 divide polynomials using synthetic division
Q: Find a 3^rd degree polynomial with zeros at -2,0, and 2 that goes through the point (-4,16)
A: Given that: A polynomial has zeroes as -2, 0, 2 and passes through (-4, 16).
Q: Explain why all Odd degree Polynomials with Real Coefficients have a Real Root.
A: We have to explain that odd degree polynomials with real coefficient have a real root. We know ,…
Q: Under what special condition can the synthetic division method be used? Create your own example of…
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Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -3, 0, 3, 5
A: General form a polynomial of degree n is P(x) = anxn+an-1xn-1+...+a1x+a0, an≠0 and the factored…
Q: Classify the polynomial by its degree. x^2+2x^3-4
A: Given Polynomial :- x2 + 2x3 - 4 we have to classified by its degree
Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -1,…
A: Given: Find a polynomial of the specified degree that satisfies the given conditions.Degree 4; zeros…
Q: True or False The degree of the product of two nonzero polynomials equals the sum of their degrees.
A: Consider the given information. Let A and B are two polynomials. Let the degree of the polynomial is…
Q: A certain polynomial has a root with a multiplicity of 3. What does this tell you about the behavior…
A: Given: A certain polynomial has a root with a multiplicity of 3.
Q: Find a polynomial with -3, 0, 4 as zeros, and of degree 3.
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Q: find a polynomial of degree 4 with zeros -6,-1,0, and 3.
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Q: If a third degree polynomial has a lone x-intercept at x = a discuss what this implies about the…
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Q: ind a polynomial fx of degree 5 that has the following zeros. −5 , 3 (multiplicity 2 ) ,…
A: given that fx is of degree 5having zeros -5,3multiplicity of 2,0,-6write down a polynomial in…
Q: Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept…
A: Given that: A polynomial with: Even Degree Roots of 1, 2, -3 y-intercept of…
Q: Find a polynomial of the specified degree that has the given zeros. Degree 5; zeros -5, -4, 0, 5, 4…
A: To generate polynomial of degree 5 turn zeros as factor and then multiple each other to get the…
Q: Find the polynomial function with -1 as a zero of multiplicity 2, 1of multiplicity 2, and going…
A: If the root x=a has a multiplicity of n then one of the factor of function is (x-a)n.
Q: Explain Newton Raphson method of finding root of the polynomial. (will leave a like)
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Q: Differentiate the function f (x) = (3x2 + x - 2)2 in two ways. (a) Use the general power rule. (b)…
A: To differentiatef(x)=(3x2+x-2)2 in two ways
Q: Find a polynomial of the specified degree that has the gi Degree 4; zeros -2, 0, 2, 4
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Q: Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: -3, -2,…
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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…
A: We have to find
Q: If a third degree polynomial has a lone x-intercept at x = a, discuss what this implies about the…
A: Given, If a third degree polynomial has alone x-intercept at x = a.
Q: True or False Every polynomial with real numbers ascoefficients can be factored into products of…
A: Given- Every polynomial with real numbers as coefficients can be factored into products of linear…
Q: It is customary to write the terms of a polynomial in the order of descending powers of the…
A: It is given that, It is customary to write the terms of a polynomial in the order of descending…
Q: how you come up th
A: Sketch the graph of a sixth-degree polynomial function whose leading coefficient is negative and…
Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -2, 0, 2, 4
A: Degree=4Zeros =-2,0,2,4
Q: A circle and a line intersect at most twice. A circle and aparabola intersect at most four times.…
A: We say that a polynomial of degree n has at most 2n intersection pointswith a circle.Now we will…
Q: What is the polynomial of degree zero
A: Degree of Polynomial: In a polynomial highest power of variable is called degree of polynomial.
Q: Find a polynomial of the specified degree that has the given zeros. Degree 5; zeros -2, -1, 0, 1, 2
A: If a polynomial P(x) whose degree n having zeros x1, x2, ..., xn then the polynomial is…
Q: perform synthetic division. use a graphing calculator table to verify your work 4x3+7x2+21 / x+2
A: Given: 4x3+7x2+21x+2
Q: The accompanying bar graph shows the net earnings (in millions of dollars) for a certain company.…
A: x = 19 corresponds to 2019.
Q: A simplified polynomial that has two terms is called a/an__________.
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Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3,0 as a zero of…
A: When zeros of a polynomial is given that to derive the polynomial just multiply the factor for the…
Q: 11. Summarize the Intermediate Value Theorem for Polynomials in your own words.
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Q: 3. Describe the end behavior of a 14th degree polynomial with a positive leading coefficient. 4.…
A: Solution
Q: 1.) Determine the absolute and relative error when approximating 2x8 using sixth-degree Taylor…
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Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x3equal 1
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Q: Date Per Find the Sum of the Polynomials using the VERTICAL Method 1 (2h2-5h) + (7h-3h2) 2. (m²-m) +…
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Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (8x2 + 7x - 5)…
A: Simplify and write the resulting polynomial in standard form and indicate its degree. (8x2 + 7x - 5)…
Q: What does it means to say that limits of polynomials may be evaluated by direct substitution?
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Q: Discuss the properties of polynomials
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Q: Find a polynomial degree 3 with constant term 96 and zeros 3 and 4 (multiplicity by 2)
A: Let Px be a polynomial of degree 3 with constant term 96 and zeros 3 and 4 (multiplicity 2). A…
Q: A polynomial with two terms is called
A: To determine what the polynomial with two terms is called.
Q: Exercises: 1. Using the fact that 3x² +7x – 9 = ((((3)x) + 7)x) – 9), show how to produce this…
A: To find: number of smallest steps used in producing x8 +x4
Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -1, 1, 3, 5
A: The objective is to find a polynomial having Degree 4 and zeros -1, 1, 3, 5. By factor theorem,…
Q: Find the polynomial function with real coefficients 3, -1 with multiplicity of 2 and -i. Rewrite in…
A: If x=3 is a zero then (x-3) is a factor. If x=-1 is a zero then (x+1) is a factor. It has…
Q: Factor x12 - 1 as a product of irreducible polynomials over Z.
A: Concept: A branch of mathematics which deals with symbols and the rules for manipulating those…
Q: A simplified polynomial that has two terms is called a/an
A: A simplified polynomial that has two terms is called a binomial.
Q: It is customary to write the terms of a polynomial in the order of descending powers of the…
A: In polynomial if terms are arrange in descending powers of variable then polynomial is called in…
Q: 1. Use synthetic division to perform the division 4x3−15x2+10x−10 / x−1.
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- Vx (-y +2,22 +323, 2233) =? 0 (3y -3222, 223, -2 + 2) 0 (-3y +3X372, -332, 1 + 2x) 0 (2y +2224-423,1 + 22) 0 (-34-3222, 42,1 +22) 0 (-3y +322y2, -3'2, 1 + 2)If Cov(X,Y) = 270, then what is Cov(16X, 3Y)? If Cov(X,Y) = 13, then what is Cov(.50X, 100Y)? If Cov(X,Y) = 404, then what is Cov(12X,19Y)? If Cov(X,Y) = 639, then what is Cov(19X,10Y)? Suppose Cov(X,Y) = 43. What is Cov(0.23X, 0.33Y)? Suppose Cov(X,Y) = 872. What is Cov(0.99X, 0.86Y)? If Cov(X,Y) = 808, then what is Cov(10X,4Y)? If Cov(X,Y) = 100, then what is Cov(2X, 10Y)? If Cov(X,Y) = 830, then what is Cov(10X, 1Y)? If Cov(X,Y) = 450, then what is Cov(1X,10Y)?If Xmin = - 6, Xmax = 10, and Xscl = 2, how should Ymin, Ymax, and Yscl be selected so that the viewing rectangle containsthe point 14, 82 and the screen is square?
- A certain drug is made from only two incredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of B. If a chemist wants to make 553 milliliters of the drug, of many milliliters of compound A are needed?You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. 1. determine if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) Distance between two red dots is:________________ . (5 pts) We know that the radius of the hearing zones are:…You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…