Question

Write the polynomial in standard form and also write down their degree.
$(p^2+2)(p^2+7)$

Answer 1

Given polynomial $(p^2+7)$
$=p^2(p^2+2)+7(p^2+2)$
$=p^4+2p^2+7p^2+14$

$=p^4+9b^2+14$
Highest power of $p$ is called degree of the given polynomial, so the given polynomial has $4$ as highest power.

$\therefore$ Degree $=4$