Question

How do i solve for this question using synthetic division
You are given f(x) = x^4 - 3x^3 - kx - 5. When f(x) is divided by x + 3, the remainder is 166

Answer 1

By the remainder theorem, you can say that f(-3) = 166

Answer 2

f(x) = x^4 - 3x^3 - kx - 5

f(-3) = (-3)^4 - 3(-3)^3 - k(-3) - 5 ... plug in x = -3

166 = (-3)^4 - 3(-3)^3 - k(-3) - 5 ... plug in f(-3) = 166

now solve for k

Answer 3

thank you so much

Answer 4

you're welcome