Question

How do you factor `x^2 - 8x +15`?

Answer 1

(x-5)(x-3)

Explanation:

`x^2-8x+15` is in the form `ax^2+bx+c`

where `ax^2 +(sum of roots)x+ (product of roots)`
ie you need to find TWO numbers that when added equals to 8 as well as when multiplied, equals to 15

so the two numbers are 3 and 5

Hence, (x-3)(x-5) which when expanded out equals to
`x^2-8x+15`