Question

Which binomial is a factor of 9x2 – 64? 3x – 8 9x – 32 3x 32 9x 8

Answer 1

The binomial factor of the equation $\rm 9x^2 -64$ is 3x-8.

What is a binomial factor?

The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.

Factoring binomials means breaking down a binomial expression into its simplest form.

Binomials are algebraic expressions with two terms.

The given binomial is;

$\rm 9x^2 -64$

The binomial is determined in the following steps given below.

$\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)$

Hence, the binomial factor of the equation $\rm 9x^2 -64$ is 3x-8.

To know more about the Binomial factor click the link given below.

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