Question #8 For polynomial P(x)=x²-3x²-4, please do the following. a) list all potential rational roots/zeros of the polynomial using Rational Roots Theorem. Final Answer b) fully factor polynomial into rational (integers, fractions), irrational (√) &/or imaginary (1) factors. Final Answer c) list all actual roots/zeros of polynomial based on factorization in (b). Final Answer

Q: Describe how to find the possible rational zeros of a polynomial function ?

A: We have to find the factors of the first and the last coefficient. Then we will divide all the…

Q: List all possible rational zeros of 3x³ – 8x2 – 5x + 6 and factor completely.

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Q: 25. Use your work done in #24 to draw a rough sketch of f(x) = 4x4 + 8x³ + 19x² + 32x + 12.

A: 25. According to question,Given Function,fx = 4x4 + 8x3 + 19x2 + 32x +12

Q: If a polynomial equation is of degree n, then counting multiple roots separately, the equation has…

A: If a polynomial equation is of degree n, then counting multipleroots separately, the equation has…

Q: The polynomial Po) = x + 2x - 10x+ dis divided by x-1.If the remainder is 6, the value of dis

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Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: Given the function f(x) = 52 - 4x + 7. Calculate the following values using s %3D Remainder Theorem:…

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Q: List all possible values that could be roots of the polynomial 4x-23x3-41x² +59x- 18 according to…

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Q: PCV)=2x3t -5+2 all rational o ŏ

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Q: You are being asked to find the root of (x-11)*(x-33)*(x-44)*(x- 55)*(x-87) = 0 with x= 1+1.5 and…

A: Let, f(x) = (x-11)*(x-33)*(x-44)*(x-55)*(x-87)  xl = 1 + 1.5 = 2.5 xu = 88 + 1*8 = 96 Then, f(xl) =…

Q: Consider the polynomial p(x) = 2æ³ + 5æ² 18x + 9 which has rational root x = 3/2. %3D Find the two…

A: x=a is said to be a root of a polynomial f(x)=0 iff (x-a) is a factor of f(x).

Q: Use synthetic division to find the result when x³ + x² + x + 4 is divided by x + 1. r(x) If there is…

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Q: The following equation is given. Complete parts (a)-(o) x-3x -25x + 75-0 b. Use synthetic division…

A: Consider the given equation. x3-3x2-25x+75=0 (b) First, check the divisibility by x=1.…

Q: 1. Use synthetic division to find to find each quotient. Write your answer in the form of R(x) f(x)…

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Q: 5. Use long division to do this problem. Specify the quotient and remainder (10x -x- 15) (2x – 3)…

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Q: Given the polynomial function: h(x)= 3x³-7x²-22x+8 a) List all possible rational zeroes of h(x). b)…

A: According to the Rational Zero Theorem, the list of all possible rational zeroes of a polynomial is…

Q: 5. Use the Rational Zero Theorem to list all the possible rational zeros for each polynomial…

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Q: 3 1. List all possible rational zeros of: x³-x²-x+1 List all possible rational zeros, then determine…

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Q: I'm really confused with this type of question. Help please

A: The given polynomial, P and a constant value, c is,

Q: Determine the rational roots of the given equation 4x-3x 1

A: Given that : 4x3-3x=1. Therefore, 4x3=3x+1 Now, add (-4) on both the sides, we get ;…

Q: Use the Rational Zeros Theorem to list all the possible rational zeros for G(x) = x + x3– 19x2 + 11x…

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Q: 1. Use the factor theorem and/or division to fully factor f(x) = 2x³ + x² -13x + 6 Show all work for…

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Q: Find all zeros. f(r) = x* – 4x3 + 11x² – 14x – 30 %3| (a) 3) Find all possible rational zeros. (b)…

A: To find all possible zeroes, we will take all factors of p/q, where p represents the constant and q…

Q: Solve the problem. Use synthetic division to divide f(x)=x3 + 12x2 +41x+30 by x+5. Use the result to…

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Q: The product of two rational expressions is the product of their divided by the product of their.

A: The rational expressions are of the form pq where p and q are polynomials , such that q≠0.   The…

Q: ind all the REAL roots of 2x5 + 3x4 – 30x3 – 57x2 – 2x + 24 using Rational Root Theorem with explan

A: Given: 2x5 + 3x4 – 30x3 – 57x2 – 2x + 24