Question

Factor:
6x^3+31x^2-74x+21
Please explain how you got your answer

Answer 1

please help

Answer 2

\[6x ^{3}+31x^{2}-74x+21\]

Answer 3

One way is to graph the function

https://www.desmos.com/calculator

then identify one of the roots. In this case, the attached image shows (7,0) as one of the x intercepts. Do you know how to use polynomial long division or synthetic division?

Answer 4

sorry I meant to say (-7,0) instead of (7,0)

Answer 5

yes i like to use the long division form

Answer 6

not synthetic

Answer 7

so you'll need to divide `6x^3+31x^2-74x+21` over `x+7`

Answer 8

ok