Question

Divide 10x4-14x3-10x2+6x-10 by x3-3x2+x-2

Answer 1

10x + 16 + (28x^2 - 10x + 22) / (x^3 - 3x^2 + x - 2).

Explanation:

x^3 - 3x^2 + x - 2 ) 10x^4 - 14x^3 - 10x^2 + 6x - 10 ( 10x + 16

10x^4 - 30x^3 + 10x^2 - 20x

16x^3 - 20x^2 + 26x - 10

16x^3 - 48x^2 + 16x - 32

28x^2 - 10x + 22 <---- Remainder.

Answer 2

10x + 16 + (28x^2 - 10x + 22) / (x^3 - 3x^2 + x - 2).

Step-by-step explanation:

x^3 - 3x^2 + x - 2 ) 10x^4 - 14x^3 - 10x^2 + 6x - 10 ( 10x + 16

10x^4 - 30x^3 + 10x^2 - 20x

16x^3 - 20x^2 + 26x - 10

28x^2 - 10x + 22