# How do you factor #2d^2-7d-15#?

##### 2 Answers

#### Explanation:

This may be factorized as a trinomial to obtain the factors

To obtain this you look at the coefficient of the first term, 2, and see what its factors are. There is only 1 option,

Then look at the coefficient of the last term, 15, and there are a 2 options here namely :

You now need to combine the options such that the sum of the factors when cross-multiplied give you the middle term of

The only option is

and so therefore the factors are the rows of the matrix shown.

#### Explanation:

Factor

To factor a quadratic function with a leading coefficient greater than 1, do the following steps:

- Multiply the leading coefficient and the constant:

- What two numbers would multiply to give you -
#30# and add to give you -#7# ?

So, +

- Since we multiplied the constant by 2, divide the numbers you got above by 2:

but

So, instead of

- Final factors: