Question

Which statement about –2h2 – 15h – 7 is true? One of the factors is (h + 2). One of the factors is (3h – 2). One of the factors is (2h + 1). One of the factors is (h – 7).

Answer 1

One of the factors is (2h + 1).

Explanation:

Given equation,

`-2h^2 - 15h - 7`

`-(2h^2+15h+7)`

By middle term splitting,

`-(2h^2+(14+1)h+7)`

`-(2h^2+14h+h+7)`

`-(2h(h+7)+1(h+7))`

`-(2h+1)(h+7)`

`\implies -2h^2 - 15h - 7=-(2h+1)(h+7)`

Thus the true statement is,

One of the factors of the given expression is (2h + 1).

Answer 2

One of the factors is (2h + 1)

Explanation:

The expression factors as ...

-(h +7)(2h +1)

One of the factors is (2h + 1).