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Question

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76

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+133

1. Find the constant a such that (x^2-3x+4)(2x^2+ax+7) = 2x^4-11x^3+30x^2-41x+28

2.Suppose that f is a polynomial such that (x-1)*f(x) = 3x^4+x^3-25x^2+38x-17

a. What is the degree of f?

b. What is the leading term of f(x)?

c. What is the constant term of f(x)?

d. Find f(x)

Leaded Aug 1, 2020

ElectricPavlov · Answer 1 · 2020-08-02T12:09:19

Find the terms that result in an x^2

x^2 *7 + 2x^2 *4 + (-3x)(ax) = + 30 x^2

15 x^2 - 3ax^2 = 30 x^2

15 -3a = 30

a = -5

Second one Just divide (x-1) into 3x^4 x^3 -25x^2 + 38x -17 via synthetic or longhand division to find (f(x)