could someone help me please?

Question

Factor the polynomial completely.

2x²+2ax−x−a

Answer 1

Hi Candice,

 

 

Factor the polynomial completely.
2x²+2ax−x−a

 

This polynomial can be factored using a process called Grouping.

 

Start by putting parentheses around the 1st two terms and then the last two terms.

(2x²+2ax)+(−x−a)        I always put an addition sign between the two factors.

 

Now, take a look at the second set of parentheses.  Usually we factor out the negative.  Factoring out the negative, changes the sign of both terms inside the parentheses.

 

(2x²+2ax)+-1(x+a)

 

Now, looking at the 1st parentheses, what can be factored out?  Looks like 2x

 

2x(x+a)+-1(x+a)           Hint: the terms inside the parentheses should be the exact same.

 

The two factors are:   (2x-1)(x+a)          

 

We're finished!