Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $3h^3 + 9h^2$

View step-by-step help

View step-by-step help

Factor out a monomial

Full solution

Q. Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

3h^3 + 9h^2

Identify GCF: Identify the greatest common factor (GCF) of the terms $3h^3$ and $9h^2$ . The factors of $3h^3$ are $3$ , $h$ , $h$ , and $h$ . The factors of $9h^2$ are $3$ , $3$ , $h$ , and $h$ . The common factors are $3$ , $h$ , and $h$ . The GCF is $9h^2$ $5$ .
Find Common Factors: Divide each term by the GCF to find the remaining factors. $\newline$ For $3h^3$ , we divide by $3h^2$ to get $h$ . $\newline$ For $9h^2$ , we divide by $3h^2$ to get $3$ .
Divide and Find Remaining Factors: Write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $3h^3 + 9h^2 = 3h^2(h + 3)$ .

More problems from Factor out a monomial

Question

Find the greatest common factor.

\newline

9v^3, 6v^3

\newline

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\underline{\hspace{1cm}}

Posted 1 month ago

Question

Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

6x^3 + 9x^2

\newline

Posted 2 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 1 month ago

Question

\newline

9j^2 - 16

\newline

Posted 1 month ago

Question

\newline

j^3 + 2j^2 + 5j + 10

Posted 2 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 2 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 1 month ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 3 months ago

Question

3 - 3^2

Posted 3 months ago

Question

5 - 5^2

Posted 1 month ago