Question

Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply.

Answer 1

Multiplying
`(5x+2)` and
`(x+2)` we can get the trinomial
`5x^2+8x-4`.

Explanation:

The given trinomial is,

`=5x^2+8x-4`

By middle term factorization,

`=5x^2+10x-2x-4`

`=5x(x+2)-2(x+2)`

`=(5x+2)(x+2)`

Therefore, multiplying
`(5x+2)` and
`(x+2)` we can get the trinomial
`5x^2+8x-4`.

Answer 2

Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply.

(x + 1)

(2x + 1)

(x + 2)

(5x + 1)

(5x – 2)

Solution :

By multiplying (5x - 2) and (x + 2), the given trinomial will be obtain as follow.
(5x - 2) * (x + 2) = (5x * x) + (5x * 2) - (2 * x) - (2 * 2)
= 5x^2 + 10x - 2x - 4
= 5x^2 + 8x - 4