sheillyfrivera sheillyfrivera

21-07-2022
Mathematics

contestada

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

Respuesta :

Medunno13 Medunno13

21-07-2022

Answer: A

Step-by-step explanation:

[tex]P(x) Q(x)=R(x)\\\\(x+1)Q(x)=2x^3 + 2x^2 - 3x-3\\\\Q(x)=\frac{2x^3 + 2x^2 - 3x-3}{x+1}\\\\Q(x)=\frac{2x^2 (x+1)-3(x+1)}{x+1}\\\\Q(x)=2x^2 - 3[/tex]

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