Question

How do you factor `7c^2-16c+9`?

Answer 1

`7c^2-16c+9= (7c-9)(c-1)`

Explanation:

Notice that `16 = 7+9`. So the middle term splits to give us an easy factoring by grouping:

`7c^2-16c+9`

`= 7c^2-7c-9c+9`

`= (7c^2-7c)-(9c-9)`

`= 7c(c-1)-9(c-1)`

`= (7c-9)(c-1)`