Question

Factoring Trinomials

2x^2+5x-42

Answer 1

`\boxed{\bold{\left(2x-7\right)\left(x+6\right)}}`

Step By Step Explanation:

Break Expression Into Groups

`\bold{\left(2x^2-7x\right)+\left(12x-42\right)}`

Factor Out x From
`\bold{2x^2-7x: \ x\left(2x-7\right)}`

Factor Out 6 From
`\bold{12x-42: \ 6\left(2x-7\right)}`

`\bold{x\left(2x-7\right)+6\left(2x-7\right)}`

Factor Out Common Term 2x-7

`\bold{\left(2x-7\right)\left(x+6\right)}`

- Mordancy