# Factor completely. 36x^{2}+24x+4

Factor completely.
$36{x}^{2}+24x+4$
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

boronganfh
Step 1
Factorization of Polynomial:
A polynomial can be written as the product of its factors having a degree less than or equal to the original polynomial. The process of factoring is called factorization of polynomials.
Step 2
$36{x}^{2}+24x+4$
$⇒4\left(9{x}^{2}+6x+1\right)$
$⇒4\left(9{x}^{2}+3x+3x+1\right)$
$⇒4\left[3x\left(3x+1\right)+1\left(3x+1\right)\right]$
$⇒4\left(3x+1\right)\left(3x+1\right)$
$⇒4{\left(3x+1\right)}^{2}$