Question

Factorise this quadratic equation 2y²-11y+12
please help!! for tomorrows test!!!​

Answer 1

`(2y-3)(y-4)`

Explanation:

1) Split the second term in
`2y^2-11y+12` into two terms.

a) Multiply the coefficient of the first term by the constant term.

`2*12=24`2 × 12 = 24

b) Ask: Which two numbers add up to -11 and multiply to 24?

-3 and -8

c) Split -11y as the sum of -3y and -8y.

`2y^2-3y-8y+12`

2) Factor out common terms in the first two terms, then in the last two terms.

`y(2y-3)-4(2y-3)`

3) Factor out the common term
`2y-3`

(2y - 3) (y-4)

Thanks,

Eddie