Use the remainder theorem to find P(-2) for P(x) = x³ + 2x² +6. Specifically, give the quotient and the remainder for the associated division and the value of P(-2).

Use the remainder theorem to find P2 for Px x 2x 6 Specifically give the quotient and the remainder for the associated division and the value of P2 class=

Respuesta :

[tex]\begin{gathered} p(x)=x^3+2x^2+6 \\ x=-2 \\ -2^3+2(-2)^2+6 \\ -8+8+6 \\ 6\text{ is the remainder} \\ \end{gathered}[/tex][tex]\frac{(x^3+2x^2+6)}{x+2}=x^2+\frac{6}{x+2}\text{ this is the quotient}[/tex][tex]\text{ the value of p\lparen-2\rparen is 6}[/tex]

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