SOLUTION: {{{-3s^2 - 10s + 8}}} = {{{-3s^2 - 12s + 2s + 8}}} = {{{-3s(s + 4) + 2(s + 4)}}} = {{{(s + 4)(2 - 3s)}}} To start this type of problem find the product of the coefficient (

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: {{{-3s^2 - 10s + 8}}} = {{{-3s^2 - 12s + 2s + 8}}} = {{{-3s(s + 4) + 2(s + 4)}}} = {{{(s + 4)(2 - 3s)}}} To start this type of problem find the product of the coefficient (      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 40855: -3s%5E2+-+10s+%2B+8
= -3s%5E2+-+12s+%2B+2s+%2B+8
= -3s%28s+%2B+4%29+%2B+2%28s+%2B+4%29
= %28s+%2B+4%29%282+-+3s%29
To start this type of problem find the product of the coefficient (here -3) of s%5E2 and the constant term (here 8). Consider the positive value of the product (3%2A8+=+24). Try to express the coefficient of 's' i.e. -10 as a sum of two numbers whose product is, here, 24. Then you would be able to find some expressions common and will be able to factorize.
Found 2 solutions by longjonsilver, psbhowmick:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
you will have to learn the "binomial" factoring technique... look at the website's Lessons. there must be plenty of help there:

anyway, the answer is:
(3s-4)(s-2)

Multiply these brackets out and you will get the polynomial in the question.

Jon

Answer by psbhowmick(529) About Me  (Show Source):