SOLUTION: 66. 3x^2-17x+10 (3x-1)(x^2-5) Tried to work it out don't know if this is the right answer I do not get how to doe these. Can you please check thank you very much I don't know wh

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: 66. 3x^2-17x+10 (3x-1)(x^2-5) Tried to work it out don't know if this is the right answer I do not get how to doe these. Can you please check thank you very much I don't know wh      Log On


   



Question 57764: 66. 3x^2-17x+10
(3x-1)(x^2-5)
Tried to work it out don't know if this is the right answer I do not get how to doe these. Can you please check thank you very much I don't know what I would do with out such good help like you guy and gals. Thanks again

Found 2 solutions by Earlsdon, funmath:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
3x%5E2+-+17x+%2B+10
Your answer is: 3x-1%29%28x%5E2-5%29 To see if your answer is correct, you must multiply these two factors to see if the product is the original equation.
Let's do that and see what we get:
%283x-1%29%28x%5E2-5%29+=+3x%5E3+-+15x+-+x%5E2+%2B+5 Simplifying this, we get:
3x%5E3+-+x%5E2+-+15x+%2B+5 and this does not equal the original equation, does it?
Try:
3x%5E2+-+17x+%2B+10+=+%283x+-+2%29%28x+-+5%29
Check by multiplying using FOIL:
%283x-2%29%28x-5%29+=+3x%5E3+-+15x+-+2x+%2B+10 Simplify.
3x%5E2+-+17x+%2B+10

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
This is the ac, arch or grouping method. If your teacher has named her method, let us know what it is and someone might know their method. There's several methods for factoring.
3x%5E2-17x%2B10 This is in ax%5E2%2Bbx%2Bc form
a=3, b=-17, and c=10
Replace b with two numbers that multiply to give you a*c, but add to give you b.
a*c=3*10=30, and b=-17
-2*-15=30 and -2-15=-17
3x%5E2-15x-2x%2B10 group the 1st two terms and the 2nd two terms:
%283x%5E2-15x%29%2B%28-2x%2B10%29 Factor the GCF from each parenthesis.
3x%28x-5%29-2%28x-5%29 Factor out the (x-5)
%283x-2%29%28x-5%29
Happy Calculating!!!