Consider the polynomial P(x) = 4x² + 5x³ − 2x² + 5x – 6. (b) What are the possible rational roots of P(x)?

Q: A quadratic polynomial y = 4x2 +7x -3 has roots p and q. Find a quadratic g(x) = x² + ax +B with…

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Q: Find 2) (x) using long division for f(x) = x? + 8x + 16 g(x) = x + 3 The quotient is The remainder…

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Q: 12) List the potential rational zeros of the polynomial function. Do not find the zeros. f (x) =…

A: Since given function is f(x) = -3x2-2x+8 Constant term =8 leading coefficient(coefficient of x2) =-3…

Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x + ax + Bwith…

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Q: Find the rational zeros of the function f(x) = x3 − 7x − 6 .

A: Given the function f(x) = x3 − 7x − 6 . We need to find the rational zeros of the function.

Q: The sum of coefficients of the polynomial f(x) is equal to 2 and the sum of coefficients in even…

A: A polynomial f(x) can be represented by f(x)=a0xn+a1xn-1+...+an-2x2+an-1x+an where…

Q: Find all rational zeros of f(x) = 6x4-5x3 - 2x2 -8x+3 %3D

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

Q: The quadratic form Q(x) = 3x,² + 7x22 + 4x3? is (a) Positive definite (b) Indefinite (c) Negative…

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Q: f (x) = 6x6 + 13x5 + 3x4 − 2x3 − 30x2 − 56x − 24. (a) Use the Rational Zeros/Roots Test to list all…

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Q: Consider the polynomial P(x) = 6x³ – 19x² − x + 24. (i) Find the value of P (−1) (ii) Based on (i)…

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Q: Find a root of f(x)= In (x²+3)-x2+3 with 103 accuracy.

A: Given,  f(x)=ln(x2+3)-x2+3  By bisection method , we have  f(2)=0.3862944 which is  >0,…

Q: Approximate the roots of the polynomial f(x) = X3 - 7X + 6 using Bolzano method.

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Q: 1. Sketch the polynomial /(x) = (2-x)²(x+1)(x-4)³

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Show that f (x) = x2 + 3x−1 and g(x) = 3x3 − 9x + x−2 are rational functions—that is, quotients of…

A: To show: That the functions are rational function: Given: The functions are fx=x2+3x-1 and…

Q: If f(x) is a polynomial of the first degree and a is not equal to B, show that f(x)= f(B)(x-a) -…

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Q: 5) Use long division to find the quotient Q(x) and remainder R(x). P(x) = 6x³ 2x² + 4x - 1 and d(x)…

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Q: Find all rational roots of f(x) = 3x3 − x2 + 15x− 5.

A: The objective of this question is to find all the rational roots of the given polynomial function…

Q: Let P(x) be a polynomial of degree 5 with roots 2, – 5 and (3 + i). Write P(x) as a product of…

A: It is given that the roots of 5 degree polynomial are 2,-5,3+i