# Write P into factored form P(x)=x^{3}+3x^{2}+4x+12

Write P into factored form
$P\left(x\right)={x}^{3}+3{x}^{2}+4x+12$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Witionsion
Step 1
Definition used -
Factorization -
For writing cubic polynomial, We can try to find the greatest common factors from the first two terms and the last two terms. Now if we will get common factor from these terms, we will find and write the polynomial in factored form.
Step 2
Given -
$P\left(x\right)={x}^{3}+3{x}^{2}+4x+12$
$={x}^{2}\left(x+3\right)+4\left(x+3\right)$
$=\left(x+3\right)\left({x}^{2}+4\right)$
Step 3
Answer : P(x) in factored form is $P\left(x\right)=\left(x+3\right)\left({x}^{2}+4\right)$