Can someone please show me how to factor $6q(7(6q)^2 +5)$ to show that it is a multiple of 6? I'm working on a division algorithm problem, and I understand concepts of div alg but I really don't have much experience factoring and I can't find any good sources on learning this type of thing. Thank you in advance.

  • 2
    $\begingroup$ Isn't it a multiple of $6$ because you are multiplying it by $6$? $\endgroup$ – Brevan Ellefsen Nov 14 '15 at 21:13

You already have shown it:

The quantity: $$6q(7(6q)^2 +5)$$

Is divisible by $6$ because of the quantity $6q$ in front of the parenthesis. The $6$ implies that the polynomial is divisible by $6$.

  • $\begingroup$ True. Ok, thank you. For some reason I was thinking I had to isolate the 6 from the q. $\endgroup$ – JohannStrauss Nov 14 '15 at 22:25

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.