Question

Factor using the trinomial
10.
X2 + 13x + 12

Answer 1

Factoring the trinomial:
`x^2+13x+12` we get the factors
`\mathbf{(x+1)(x+12)}`

Explanation:

We need to factor the trinomial:
`x^2+13x+12`

We can factor the trinomial by breaking the middle term i.e 13x

Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2

We can break 13x as: 12x and x

Adding them we get 13x and multiplying them we get 12x^2

So,

`x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)`

So, Factoring the trinomial:
`x^2+13x+12` we get the factors
`\mathbf{(x+1)(x+12)}`