P(x) · Q(x) = R(x); if P(x) = x + 1 and R(x) = 2x³ + 2x²- 3x-3, what is Q(x)? A. 2x² - 3 B. 2x² - 2 C. 2x² + 2 D. 2x² + 3

asked Nov 11, 2023 51.9k views

1 vote

P(x) · Q(x) = R(x); if P(x) = x + 1 and R(x) = 2x³ + 2x²- 3x-3, what is Q(x)?

A. 2x² - 3
B. 2x² - 2
C. 2x² + 2
D. 2x² + 3

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5 votes

Answer: A

Explanation:

$P(x) Q(x)=R(x)\\\\(x+1)Q(x)=2x^3 + 2x^2 - 3x-3\\\\Q(x)=(2x^3 + 2x^2 - 3x-3)/(x+1)\\\\Q(x)=(2x^2 (x+1)-3(x+1))/(x+1)\\\\Q(x)=2x^2 - 3$

Luis Ayuso answered Nov 15, 2023

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