Question

How do you combine `4x^2(3x^2 + 2x – 1)`?

Answer 1

By using the Distributive Property which, in general, says
`color(white)("XXXXX")` `color(red)(a)(p+q+r) = color(red)(a)p + color(red)(a)q +color(red)(a)r`
we can re-write
`color(red)(4x^2)(3x^2+2x+1)`
`color(white)("XXXXX")`as
`color(red)((4x^2))(3x^2) + color(red)((4x^2))(2x) - color(red)((4x^2))(1)`

`=12x^4 +8x^3 - 4x^2`

Answer 2

`(3x^2 + 2x - 1) = (x + 1)(x - 1/3) = (x + 1)(3x - 1)`

`f(x) = 4x^2(x + 1)(3x - 1)`