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. $\newline$ $6z^3 + 8z^2$

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

6z^3 + 8z^2

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $6z^3$ and $8z^2$ . To do this, we will list the factors of the coefficients and the powers of $z$ . $\newline$ Factors of $6$ : $1, 2, 3, 6$ $\newline$ Factors of $8$ : $1, 2, 4, 8$ $\newline$ Common factors of the coefficients: $2$ $\newline$ Powers of $z$ : $z^2$ is the highest power of $z$ that is common to both terms. $\newline$ GCF of $6z^3$ and $8z^2$ : $8z^2$ $3$
Divide by GCF: Now we will divide each term by the GCF to find the remaining factors. $\newline$ $6z^3 \div 2z^2 = 3z$ $\newline$ $8z^2 \div 2z^2 = 4$
Write as product: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $6z^3 + 8z^2 = 2z^2(3z + 4)$

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 5 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 5 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 5 months ago

Question

\newline

9j^2 - 16

\newline

Posted 5 months ago

Question

\newline

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

Posted 5 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 9 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 8 months ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 10 months ago

Question

3 - 3^2

Posted 10 months ago

Question

5 - 5^2

Posted 7 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant