Question

please can someone help me with this ?

Instructions: Drag the tiles to the boxes to form correct pairs.
Match the polynomials with their factors.

Answer 1

The first thing we are going to do to pair our polynomials, is expand our binomials and simplify:

`(a+1)(2a-3)=2a^(2)-3a+2a-3=2a^(2)-a-3`


`(a-1)(2a+3)=2a^(2)+3a-2a-3=2a^(2)+a-3`


`(2a-1)(a+3)=2a^(2)+6a-a-3=2a^(2)+5a-3`


`(2a+1)(a-3)=2a^(2)-6a+a-3=2a^(2)-5a-3`

Now that we have our binomials expanded, lets pair them with the polynomials:

`(a+1)(2a-3) -----\ \textgreater \ 2a^(2)-a-3`


`(a-1)(2a+3)-----\ \textgreater \ 2a^(2)+a-3`


`(2a-1)(a+3)-----\ \textgreater \ 2a^(2)+5a-3`


`(2a+1)(a-3)-----\ \textgreater \ 2a^(2)-5a-3`