Question

How do you factor `2x^2+22x+56`?

Answer 1

`2(x+4)(x+7)`

Explanation:

`"take out a "color(blue)"common factor"" of 2"`

`rArr2(x^2+11x+28)`

`"to factor the quadratic 'split' the x term"`

`"that is " x^2+4x+7x+28`

`"factorising each 'pair' gives"`

`color(red)(x)(x+4)color(red)(+7)(x+4)`

`"take out the common factor " (x+4)`

`(x+4)(color(red)(x+7))`

`rArr2x^2+22x+56=2(x+4)(x+7)`