# Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary. 3y^3+24y^2+9y

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.
$3{y}^{3}+24{y}^{2}+9y$
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

Ezra Herbert

Step 1
Given: The polynomial $3{y}^{3}+24{y}^{2}+9y$
To determine: The factorization of the polynomial.
Step 2
Explanation:
Factorizing the polynomial,
$3{y}^{3}+24{y}^{2}+9y$
$=3\left({y}^{3}+8{y}^{2}+3y\right)$ [taking 3 as common]
$=3y\left({y}^{2}+8y+3\right)$[taking 3 as common]
Result: $3{y}^{3}+24{y}^{2}+9y=3y\left({y}^{2}+8y+3\right)$.