Question

Factor the expression. k^(2)+17k+72 Show your work here

Answer 1

(k+8)(k+9)

Explanation:

`k^2+17k+72`
You are given this equation and asked to factor.
Since the leading coefficient (coefficient of the term with the highest degree) is 1, the factors are (k+_)(k+_).
To find what goes in the __s, find what two numbers multiply to the last term (72) and add to the middle term (17). These two numbers are 8 and 9.

Therefore, the factors are (k+8) and (k+9).

You can check this by multiplying these factors out. (FOIL)

`(k+8)(k+9)\\k^2+9k+8k+72\\k^2+17k+72`
It multiplies to the original expression, so it is correct.