Find the degree of the polynomial p(x)q(x); $p(x)=2x^2+4x+2$,$q(x)=4x+6$

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Find the degree of the polynomial p(x)q(x); $p(x)=2x^2+4x+2$ , $q(x)=4x+6$

Answer:

$p(x)=2x^2+4x+2$ , $q(x)=4x+6$

$p(x)q(x)=2x^2[4x+6]+4x[4x+6]+2[4x+6]$

$=8x^3+12x^2+16x^2+24x+8x+12$

$=8x^3+28x^2+32x+12$

degree of the polynomial p(x)q(x) = 3

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