Question

Please help asap What is the factored form of this expression? 5p^3-10p^2+3p-6​

Answer 1

Answer:

$(5p^2+3)(p-2)$

Step-by-step explanation:

In this problem, we need to write the factor form of expression $5p^3-10p^2+3p-6$.

It can be done as follows :

$5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)$

Taking common form the terms as follows :

$=p(5p^2+3)-2(5p^2+3)$

It can be also written as :

$=(5p^2+3)(p-2)$

Hence, the factored form of $5p^3-10p^2+3p-6$ is $(5p^2+3)(p-2)$