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

Challenger App

★

1M+ Downloads

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

Related Questions:

If a and b are the roots of $x^2 + x - 2 = 0$ , then the quadratic equation in x whose roots are $\frac1a + \frac1b$ and ab is:

If $1 + \sqrt{3}$ and $1 - \sqrt{3}$ are the roots of a quadratic equation, then the quadratic equation is:

$p(x) =2x^2+3x+7$ , $q(x)=6x^2+8x-9$ Find p(x)+q(x)