Question

How do you factor the trinomial `10x^2 − 7x − 3`?

Answer 1

`(10x+3)(x-1)`

Explanation:

As there is a co-efficient of 10 infront of `x2` it seems like there is alot more work involved but there truly isn't.

`10x^2 - 7x - 3`

Times 10(a) and 3(c) together to give you 30. What two multiples of 30 add up to give you -7.

-10 and 3.

Now through inspection we can say that the trinomial will factorise to give (10x+3)(x-1)