What is the factored from of the polynomial? x^2+9x+20

(x+4) (x+5)

Step-by-step explanation:

first you have x^2+9x+20

since there isnt a greatest common factor, you should use the A*C = B/t-chart method

a*c = 1*20=20

b = 9

what factors of 20 add together to equal 9?

factors of 20 = 1, 2, 4, 5, 10, 20

4 and 5

So, you would set the problem like this:

x^2+4x+5x+20

and then factor by grouping

(x^2+4x) (5x+20)

x (x+4) 5 (x+4)

then simplify it (the numbers in the parenthesis should end up being the same, if not, an error was made)

(x+4) (x+5)