Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (anonymous):

2x^3-30x^2+108x

hero (hero):

Please give explanations and steps, not just answers.

hero (hero):

New Hint: factor out 2x first

OpenStudy (anonymous):

aright well i cant find the numbers to add and to multiply and get the same thing

OpenStudy (radar):

After factoring out the 2x what do you have left to factor further?

OpenStudy (radar):

2x( ---------------)?

OpenStudy (anonymous):

15 and 54

OpenStudy (radar):

2x(x^2-15x+54) Now notice that the sign of the 54 is positive, but the sign of the 15 is negative. This tells us that both factors of the 54 will be negative and they will combine to form a -15, can you think of two numbers when multiplied equal 54 and when added equal 15???

OpenStudy (radar):

We know they will be negative, but we don't know what the numbers are? But you can figure it out.

OpenStudy (anonymous):

5 and 18

OpenStudy (radar):

5 times 18 = 90 5 + 18 =23 Not even close, you can do better.

OpenStudy (radar):

a*b=54 a+b=15 mystery!

hero (hero):

Hint 9*6 =54

OpenStudy (anonymous):

9and6

OpenStudy (anonymous):

yeah got it!

OpenStudy (radar):

Don't forget to use correct signs!

hero (hero):

I gave that hint earlier

OpenStudy (anonymous):

thanks

OpenStudy (radar):

Yes, I think he has got the complete solution now. Thanks for the assist.

hero (hero):

2x^3-30x^2+108x 2x(x^2 - 15x + 54) 2x(x^2 - 9x - 6x + 54) We're not done just yet are we?

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!
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!