Question

Find (x³+x²-20x+24) divided by (x-3)​

Answer 1

`(x^3 + x^2 -20x + 24)/(x-3) = x^2 +4x-8`

Explanation:

Given;

p(x) = x³ + x²- 20x + 24

factor of p(x) = x-3

Apply long division method;

x² + 4x - 8

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x - 3 √ x³ + x²- 20x + 24

-( x³ - 3x²)

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4x² - 20x + 24

-(4x² -12x )

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-8x + 24

- (-8x + 24)

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0

`thus, \ (x^3 + x^2 -20x + 24)/(x-3) = x^2 +4x-8`