Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x) /D(x) in the form  P(x)/D(x) = Q(x) + R(X)/D(X) P(x) = 4x^4-2x^3+20x^2, D(X) =2x^2+9

Q: Use synthetic division to perform the division.   x^3+5x^2+8x+6 over x+3

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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: Verify the factorization by using synthetic division 3x3 - 5a2-4x + 4 = 3(x+ 1)(x– 2)(x –) Verify…

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Q: A rectangle has a length of 12 units and a width of 5 units. Squares of `x` by `x` units are cut out…

A: Solution : We have given a rectangle withe length of 12 units and width of 5 units. If squares of x…

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

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Q: Use polynomial long division to divide f(x) = x3 – 5x² + 8x – 2 by x² – 2 and cotient and remainder.

A: To divide the function f(x)=x3-5x2+8x-2 by x2-2  using polynomial long division and to identify the…

Q: find a polynomial of the specific degree that has the given zeros. degree=3.            zeros=…

A: Given  The  polynomial of the specification is  Degree =3  Zeros = -3 ,3 ,5

Q: Find a polynomial of the specified degree that has the given zeros. Degree 3; zeros -1, 1, 3

A: Given, Degree = 3 Zeroes = -1, 1, 3

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -2,…

A: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -2,…

Q: how to write a polynomial function f of least degree that has rational coefficients, a leading…

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Q: find a polynomial of degree 4 with zeros -6,-1,0, and 3.

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Q: Use polynomial long division to solve: x'+2x- 2x - 1 divided by (x - 1). 1. x²+3x - 1 2. x²+3x+1 3.…

A: Consider the given polynomial: Perform long division:

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: If the leading coefficient of an odd-degree polynomial function is positive, then the function…

A: Given: If the leading coefficient of an odd-degree polynomial function is positive, then the…

Q: Solve (x^3-4x^2+7x-10)\(x-2) using synthetic division.

A: Take the constant term of the divisor with the opposite sign and write it to the left. Write the…

Q: A rectangular field is twice as long as its width. If 3 feet are taken from the width, and 4 feet…

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Q: A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the…

A: Solve the given problem.

Q: Select the factors that multiply to create a polynomial with this description: (1) As x→-0, y→-∞ (2)…

A: Given x→-∞ and y→-∞ and x→∞ and y→∞ and x=4 is a root

Q: Use synthetic division to divide fx) = x – 4x² + x + 6 by x + 1. Use the result to find all zeros of…

A: given,        fx=x3-4x2+x+6       ,   x=-1

Q: 11. If f(x) = -3x2 - 4x + 1, use synthetic division to evaluate f(4)

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

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

A: We have to find

Q: a degree 4 polynomial having zeros -6, -4, 3 and 8 and the coefficient of x^4 equals 1 The…

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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: express the volume of the box as a polynomial function in terms of X

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Q: A rectangle has a length of 18 units and a width of 14 units. Squares of x by x units are cut out of…

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Q: synthetic division to find the value of ( x + 2 ) for                 P (x )  =  x3 + -x2  + 3x + 3

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Q: A polynomial function with leading term 9x^2 has degree....

A: We have to tell the degree of polynomial function with leading term 9x2

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: (6x* + 10z³ + 5x² + x + 1) ÷ (x + ,) 31

A: Use Synthetic division to find quotient

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: The degree of a polynomial is the highest exponent of x when in standard form. How are even degree…

A: Let's find.

Q: 13.) f(X)= ZX -7X3-27x²+63X+81

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Q: The accompanying bar graph shows the net earnings (in millions of dollars) for a certain company.…

A: x = 19 corresponds to 2019.

Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x3equal 1

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Q: If a polynomial p(x) is divided with a polynomial (x + 3) using long division and the quotient is…

A: Let the remainder is Zero Given pxx+3=2x2-x+1 px=x+32x2-x+1=2x3-x2+x+6x2-3x+3        =2x3+5x2-2x+3

Q: Find a third degree polynomial function with zeros 3,-4, and -/-

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Q: If you have a polynomial, the possible rational zeros are: factors of constant term factors of…

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Q: 4) Use polynomial long division. 8 – 14r2 + x 2x – 3

A: The expression is 8x3−14x2+x2x−3.

Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4  zeros −1,…

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Q: Find a polynomial of degree 3 that has zeros 5, -5, and 8

A: Given :To determine the polynomial ofdegree 3 has zeros 5,-5 and 8.

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: We can apply Eisenstein criterion for irreducibility of the polynomial 4x10−9x3+24x−18 over Q. true…

A: Using Eisenstein Criterion for irreducibility of f(x) over Q,

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: ) x^3+x^2-28x-10=0; x-5

A: According to our company policy we can answer only first question and rest can be reposted

Q: Give one example of a polynomial of degree 4 that has zero at x=5 with multiplicity 2

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -1,…

A: Concept - If a function f(x) has 3 zeros say a,b,c then function f(x) is given by - f(x) =…

Q: 1.  Use synthetic division to perform the division 4x3−15x2+10x−10 / x−1.

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Q: 3 Use synthetic division to divide f(x) =x° + 18x + 101x+ 180 by x+4. Use the result to find all…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.