Question

What statement about -2h^2 - 15h - 7 is true?

Answer 1

Answer :  one of the factor is (2h+1)

$-2h^2 - 15h - 7$

LEts factor the given expression

WE have negative in common

so we factor out negative

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

Now we multiply 2  and 7 = 14

We find out two factors whose product is 14  and sum is 15

1 times 14 = 14

1 + 14 = 15

So two factors are 1  and 14

Now split the middle term 15h using factors 1  and 14

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

We group first two terms and  last two terms and factor out GCF

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

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

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

So one of the factor is (2h+1)