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. $\newline$ $2n^2 - 10$

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

2n^2 - 10

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $2n^2$ and $-10$ . The GCF is the largest factor that divides both terms. $\newline$ For $2n^2$ , the factors are $2$ , $n$ , and $n$ . $\newline$ For $-10$ , the factors are $2$ and $5$ . $\newline$ The common factor between these two terms is $2$ .
Divide terms by GCF: Now we will divide each term by the GCF, which is $2$ , to factor it out. $\newline$ $2n^2$ divided by $2$ is $n^2$ . $\newline$ $-10$ divided by $2$ is $-5$ .
Write original polynomial as product: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $2n^2 - 10 = 2(n^2 - 5)$

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 2 months 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 3 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 2 months ago

Question

\newline

9j^2 - 16

\newline

Posted 2 months ago

Question

\newline

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

Posted 3 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 3 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 2 months ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 4 months ago

Question

3 - 3^2

Posted 4 months ago

Question

5 - 5^2

Posted 2 months ago