13.) f(X)= ZX -7X3-27x²+63X+81

Q: find the zeros and  their multiplicities. consider using descartes' rule of sign and the upper and…

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Q: find all zeros: 2x2 – 3x + 3 = 0.

A: Consider the given equation 2x3-3x+3=0

Q: 5. Factor f(x) = 9x² – 33x² + 19x – 3, given that 3 is a zero.

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Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

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Q: 6. a. P(x)= 6x - 7x –12x +3x+2 a zero of P(x)= 6x* - 7x -12x + 3x+2? Show why or why not.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Use Standard equation of polynomial and put value and solve

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: A polynomial function of nth degree, with zeros of a1, a2, a3, … , an is written as P(x) = a x-a1…

Q: Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose…

A: a) Given that, the function R(x) has the zeros -5,8,9 and -5+5i. Note that, if a+ib is a root or…

Q: True or false:3/2 is a possible rational zero of f(x) = 2x3 + 11x2 - 7x - 6._______

A: Given that: f(x) = 2x3 + 11x2 - 7x – 6. If a number is rational zero zero of the function, then the…

Q: A polynomial has only zeroes 1, 2, and 5 with the multiplicities 4, 2 and 1 respectively. What is…

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Q: True or False The polynomial x2 + 4 is prime.

A: Anwer:False.

Q: 80. A third-degree polynomial has two turning points. fx)=x3 false

A: We need to prove given statement is false.

Q: Find all zeros (real and nonreal) of 3x3 + x2 – x – 3.

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Q: A polynomial has a leading term -2x^7. Discuss the end behavior

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Q: true or false The domain for x3 – 1 is (∞, -∞)

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Q: 8. Factor the polynomial r - 2x2 - x- 28 into linear factors. Begin by using a graph to find a real…

A: Given: x3-2x2-x-28

Q: (b) Factor P completely and find all its zeros. (Use Synthetic division)

A:

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A:

Q: . Using Descartes’ Rule of Signs, we can tell that thepolynomial P1x2  x5  3x4  2x3  x2  8x  8…

A: The Descartes rule of signs states that if p be a polynomial with real coefficients then (1) The…

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: How do you find the zeroes of f(x)= [(2x^3)-(9x^2)+(12x)-(3)]? When I try the possible real zeroes…

A: f(x)=2x3-9x2+12x-3

Q: Graph the given polynomial, using the steps outlined in the section for graphing polynomials…

A: (1)-f(x)=x4+6x3-3x2-52x-60For the calculation of root and zeros f(x)=0x4+6x3-3x2-52x-60=0(x+2) (x+2)…

Q: A polynomialf(x) and 6) f(x) =x4 - 2x3 A) ±3, ±1 + 4,

A: In this we have to find the factors of the polynomial then after roots so I'm providing hand written…

Q: ..................... .... ................... ...................................... Use synthetic…

A:

Q: 6) Use the polynomial function /(x) = x-5x +4 to answer the questions below. a) List the…

A:

Q: II. Use synthetic division method to finc the solution on the space provided. Set A 1. (x³ – 3x² +…

A: Given is (x3-3x2+5x+3)÷(x-3) The solution is provided below

Q: 7. Explain why the graph of a quadratic polynomial can never have an inflection point. (HINT: Recall…

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Q: 5. Write a polynomial equation with the zeros 5, -6, and-1 multiplicity 2.

A:

Q: 20) f(x) = +8x' +16x) A) Determine end behavior using Leading Coefficient Test. B) Find real zeroes:

A: The given function is f(x)=14x4+8x3+16x2 ........................... (1) a) End behavior:-

Q: Find a polynomial of the specified degree that satisfies the given conditions. coefficient of x³ is…

A: Given zeros are -5,0,1,6            So, x+5,x,x-1,and x-6 are              factors of…

Q: 16. Given that (x - 1) is a factor of the polynomial fix)= ax + x3 - 12x2- x+ 2.Find the value of…

A: We solve this problem using concept of roots of the polynomial. According to the bartleby guidelines…

Q: The side of a cube is represented by X + 1 find A polynomial model in standard form in terms of X…

A: Given, The side of a cube is represented by (X + 1) The volume of a cube defines,  The number of…

Q: 3. Describe the end behavior of a 14th degree polynomial with a positive leading coefficient. 4.…

A: Solution

Q: 5) Write a first degree polynomial whose value and slope agrees with the value and slope of f(x) 8…

A:

Q: 10 points) Determine if x+5 is a factor of f(x) = x' +3x? - 34x-120. If it is factor, factor f (x)…

A: Explanation and solutions is given below.....

Q: Graph the polynomial P1x2  1x  223  27, showing clearly all x- and y-intercepts

A: P(x)=-(x+2)3+27

Q: Q: Find the zeros of the pol ynomials f(x) =x - 5x² -2x+ 24, If it is given that the product of its…

A:

Q: How many zeroes does the polynomial (x-3)2 - 4 can have. Also find its zeroes

A: This polynomial has two zeros.

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Given - Three degree with zeros of polynomial are: -3 -2 and 4 and a y intercept of -15. We have to…

Q: Show all work and sketch the graph of each of the polynomial function f(x)=-x3−x2+17x−15. Explain…

A: To graph the polynomial function

Q: Use synthetic division to show that x is a solution of the equation, and use the result to factor…

A:

Q: Synthetic division is a process for dividing a polynomial by x - c. The coefficient of x in the…

A: Synthetic division is a method of polynomial division  of a cubic polynomial in linear form.…

Q: By Discrate rules of sign find the no. of real zeros of polynomial p(x)=x⁵ + 4x⁴ - 3x² + x - 6

A: Discrete rules of sign: According to this rule, the number of positive roots of a polynomial is…

Q: h polynomial with it's correct classification: 6x -10 -3x + 4.x - 2x + 8 -5x + 4 3x* + 6x 8

A: The number of terms in the polynomial decides the type of polynomial.  If the number of term in the…

Q: A polynomial has 7 "turning points." What is the least possible degree of the polynomial?

A: If a polynomial has 'n' turning points then the least possible degree of the polynomial is 'n+1'

Q: Find a quadratic polynomial whose sum and product respectively of the zeroes are as given  also…

A:

Q: 6) Use the polynomial function /(x) = x-5x +4 to answer the questions below. a) List the…

A: f(x)=x4–5x2+4 a) List the y- intercept. Rewrite the Equation as y= x4–5x2+4 Putting x=0 and solve…

Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -5, 0, 5, 7 P(Y)

A:

Q: 2. Using Descartes' Rule of Signs, we can tell that the polynomial P(x) = x° - 3x + 2x – x? + 8x - 8…

A: Descartes's Rule of Signs states that change in coefficient value can tell the max number of zeros…