Question

Factor by grouping (sometimes called the ac-method).33x²+2x-3Finally, show the factorization.

Answer 1

From the question,

We are to factorize

`33x^2+2x-3`

This is done as follows

`\begin{gathered} 33x^2+2x-3 \\ =33x^2+11x-9x-3 \end{gathered}`

This is further factorized as

`\begin{gathered} 33x^2+11x-9x-3 \\ =11x(3x+1)-3(3x+1) \\ =(3x+1)(11x-3) \end{gathered}`

Therefore, we have

`\begin{gathered} 33x^2+2x-3 \\ =(3x+1)(11x-3) \end{gathered}`