Answer:
x^2+13x+40
Step-by-step explanation:
To solve this, use the FOIL method. Multiply the first terms, then the outside, then the inside and finally the last terms.
We have the binomials:
(x+5) and (x+8)
The first terms are x and x. The outside terms are x and 8. The inside terms are 5 and x. The last terms are 5 and 8.
Multiply these values.
F (first): x and x
x*x= x^2
O (outside): x and 8
x*8=8x
I (Inside): x and 5
x*5=5x
L ( Last): 5 and 8
5*8=40
Now, add all the products together.
x^2+8x+5x+40
Combine like terms. In this case, the like terms are 8x and 5x.
x^2+13x+40
The final trinomial (three terms) is: x^2+13x+40
