Question

Please I have no idea

P(x) Q(x) = R(x); if P(x) = x + 2 and R(x) = x³ - 2x² - 6x +4, what is Q(x)?

Answer 1

Q(x)=x² - 4x + 2

Explanation:

P(x) * Q(x) = R(x)

(x+2) * Q(x)=x³ - 2x² - 6x +4

(x+2)/(x+2) * Q(x)=(x³ - 2x² - 6x +4) / (x+2)

Q(x)=(x³ - 2x² - 6x +4) / (x+2)

x² - 4x + 2

x+2 | x³ - 2x² - 6x + 4

- (x³ + 2x²)

- 4x² - 6x

- (4x² - 8x)

2x + 4

- (2x + 4)

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