SOLUTION: Can someone help me with these two questions? 1.Factor completely. If the polynomial is prime, state this. y2 + 0.4y + 0.04 2. Factor by grouping. 15x2 + 10x - 9x - 6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone help me with these two questions? 1.Factor completely. If the polynomial is prime, state this. y2 + 0.4y + 0.04 2. Factor by grouping. 15x2 + 10x - 9x - 6      Log On


   

Question 207405: Can someone help me with these two questions?
1.Factor completely. If the polynomial is prime, state this.
y2 + 0.4y + 0.04
2. Factor by grouping.
15x2 + 10x - 9x - 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

Hint: look for two numbers that both add to 0.4 (the middle coefficient) AND multiply to 0.04 (the last term)


Once you find these two numbers (say they are 'p' and 'q'), simply split 0.4y into py%2Bqy to get the new expression y%5E2%2Bpy%2Bqy%2B0.04 and then factor that by grouping.


# 2



15x%5E2%2B10x-9x-6 Start with the given expression


%2815x%5E2%2B10x%29%2B%28-9x-6%29 Group like terms


5x%283x%2B2%29-3%283x%2B2%29 Factor out the GCF 5x out of the first group. Factor out the GCF -3 out of the second group


%285x-3%29%283x%2B2%29 Since we have the common term 3x%2B2, we can combine like terms


So 15x%5E2%2B10x-9x-6 factors to %285x-3%29%283x%2B2%29


In other words, 15x%5E2%2B10x-9x-6=%285x-3%29%283x%2B2%29