Multiply the given polynomials : x^5-1 ; x^3+2 x^2+2 - Vidyadip

Question

Multiply the given polynomials :
$x^5-1 ; x^3+2 x^2+2$

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Answer

$\left(x^5-1\right) \times\left(x^3+2 x^2+2\right)$
$=x^5\left(x^3+2 x^2+2\right)-1\left(x^3+2 x^2+2\right)$
$=x^8+2 x^7+2 x^5-x^3-2 x^2-2$

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