Algebra

Question

0

7

1

+290

Find the quotient and remainder when p(x) is divided by q(x)$, where p(x) = x^4 - x^2 + 3x - 7 and q(x) = x^2 + 2x - 5.

CPhill · Answer 1 · 2025-02-20T09:19:59

Using polynomial division

x^2 - 2x + 8

x^2 + 2x - 5 [ x^4 + 0x^3 - x^2 + 3x -7 ]

x^4 +2x^3 - 5x^2

_______________________

-2x^3 + 4x^2 + 3x

-2x^3 - 4x^2 + 10x

___________________

8x^2 - 7x - 7

8x^2 +16x -40

_____________

-23x + 33

Q = x^2 -2x + 8

R = 33 - 23x