Factor as the product of two binomials x^2+11x+18

Answer 1

first set up 2 sets of parenthesis with x as the first term in each. Each sign must be positive in this case. For now, let's represent the second terms with a and b.

(x+a)(x+b)

The product of a and b must be 18, so the possibilities are:

1 and 18

2 and 9

3 and 6

The sum of a and b must b 11 and the numbers that fit that are 2 and 9.

(x+2)(x+9) is the answer, if you multiply it out you will get x^2+11x+18