Ask
your own question, for FREE!

Mathematics
29 Online

OpenStudy (anonymous):

factor 6x^2-31x+35

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

When you find it hard to factorize a polynomial, simply find its roots using the quadratic formula. \[ x = \frac {-b\pm\sqrt{b^2-4ac}} {2a} \] If the roots are α and β, then the equation will be of the form \[ a(x-\alpha)(x-\beta) \] where a is a constant. If you do that, you will find that the roots are 5/3 and 7/2. So the original equation should be a multiple of \[ (x-\frac53)(x-\frac72) = x^2 - \frac{31}6x+\frac{35}6 \] It is quite obvious at this point that the constant a will be 6. (compare the coefficients of x². Does this help?

OpenStudy (anonymous):

=(2x-7)(3x-5)

OpenStudy (anonymous):

x=7/2,5/3

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

Bounty:
Let me out.... I'm trapped is anyone there I'm trapped I've tried to adapt but I

11 hours ago
5 Replies
2 Medals

Ashlynisback:
why does question cove always get mad at my post like I asked what 1+1 is and It

13 hours ago
8 Replies
3 Medals

toga:
what religion are you and what are the rules that you must follow

12 hours ago
55 Replies
4 Medals

balencichronicals:
https://www.secretmsg.link/secret/6647b7c9a865c/ dont be weird .

17 hours ago
0 Replies
0 Medals