Question

Factor by Grouping.The ac product of 10x2+11x+3 is ____?The middle term can be rewritten as ______x +____ x10x2+11x+3= (___ x+___)(___ x+___)

Answer 1

Given:

$10x^2+11x+3$

Required:

To fill the blanks.

Explanation:

Here

$\begin{gathered} a=10 \\ b=11 \\ c=3 \end{gathered}$

The ac product is,

$\begin{gathered} ac=10\times3 \\ =30 \end{gathered}$

The middle term can be rewritten as,

$11x=5x+6x$

Now

$\begin{gathered} 10x^2+11x+3=10x^2+5x+6x+3 \\ =5x(2x+1)+3(2x+1) \\ =(2x+1)(5x+3) \end{gathered}$

Final Answer:

$\begin{gathered} ac=30 \\ 11x=5x+6x \\ 10x^2+11x+3=(2x+1)(5x+3) \end{gathered}$