The trinomial is given to be:
[tex]20x^2+13x-7[/tex]STEP 1:
Rewrite the middle term such that we can break the expression. Multiply the first and last terms of the expression:
[tex]20x^2\times(-7)=-140x^2[/tex]Find two multipliers of -140x² that will add up to +13x:
[tex]Multipliers=20x,-7x[/tex]Replace 13x in the expression by the multipliers:
[tex]20x^2+20x-7x-7[/tex]STEP 2:
Collect the common terms in each pair of numbers:
[tex]\Rightarrow20x(x+1)-7(x+1)[/tex]STEP 3:
Factor the expression by collecting the like terms:
[tex]\Rightarrow(x+1)(20x-7)[/tex]ANSWER:
The factored expression is:
[tex](x+1)(20x-7)[/tex]