Question

-5v^2+31v-6
factor the polynomial I NEED ASAP

Answer 1

(v - 6)(-5v + 1)

Explanation:

`- 5 {v}^(2) + 31v - 6`

`- 5 {v}^(2) + 30v +v - 6`

`- 5v(v - 6) +(v - 6)`

`(v - 6)( - 5v + 1)`

Answer 2

To factor -5v^2+31v-6, we need to find two numbers that multiply to give -30 (-5 x 6) and add up to 31. These numbers are 30 and 1. We can then rewrite the middle term using these numbers and factor by grouping:

-5v^2+30v+v-6
= -5v(v-6)+(v-6)
= (v-6)(-5v+1)

Therefore, -5v^2+31v-6 can be factored as (v-6)(-5v+1).