Question

How do you factor `x^4+7x^3+12x^2`?

Answer 1

`x^2 (x + 3)(x + 4)`

Explanation:

Well firstly;(remove `x^2`)

`x^2(x^2 +7x + 12)`
step 2; split the middle term
Sum = 7
product = 12
Possible factors;
`(4,3)`

`x^2[ (x^2 +4x + 3x + 12)]`
`x^2[ x(x + 4) + 3(x + 4)]`
`x^2 (x + 3)(x + 4)`

Tadaaa!! all done