Question

Factorise this equation

Answer 1

$x^{2} - 2x +35$

To factor we must first find factors of 35

The only factors of 35 are : 5 & 7

-2x is what 5 and 7 make

but only if 7 is negative and 5 is positive

so our final factors are

(x - 7) (x  + 5)

______________________________________________

$2x^{2} +7x +6$

For the second equation, were going to multiple the coefficient of $x^{2}$ ( which is 2 ) by 6

We get 12

What factors of 12 add up to 7?

3 and 4

So our final factors are

(2x+3)(x+2)