Question

How do you factor `x^2 + 13x + 36`?

Answer 1

`(x+4)(x+9)=0`

Your answer would be x=-4 and x=-9.

Explanation::

`(x+4)(x+9)`
`x " times " x = x^2`
`x(9)+x(4)= 13x`
`4 " times " 9= 36`
= `x^2+13x+36`

Answer 2

`x^2 + 13x + 36 =` (x - p)(x - q).
Find p, and q, knowing sum = b = 13 and product c = 36. Compose factor pairs of 36-> (2, 18)(2, 12)(4, 9). this last sum is 9 = b. Then p = 4 and q = 9

y = (x + 4)(x + 9)