HELP ASAP!!!!!

Question

0

620

2

If $(x^2 - k)(x + k) = x^3 + k(x^2 - x - 5)$ and $k\neq 0$, what is the value of $k$?

Guest Mar 15, 2021

Melody · Answer 1 · 2021-03-15T02:17:15

What are the x^2 terms? kx^2 that is no help

What about the x terms? -kx that is no help either

what about the constant ? -k^2 = -5k So what must k be?

amygdaleon305 · Answer 2 · 2021-03-15T02:20:15

(x²- k)(x + k) = x³ + k(x² - x - 5)

x³ - kx + kx² - k² = x³ + k(x² - x - 5)

x³ + k(x² - x - k) = x³ + k(x² - x - 5)

Comparing both sides,

k = 5