SOLUTION: Factor the following expression completly: 75x^4+35x^3-10x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the following expression completly: 75x^4+35x^3-10x^2      Log On


   

Question 407313: Factor the following expression completly:
75x^4+35x^3-10x^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

75x%5E4%2B35x%5E3-10x%5E2......common divisor is 5
75x%5E4%2F5%2B35x%5E3%2F5-10x%5E2%2F5
15x%5E4%2B7x%5E3-2x%5E2.........common x%5E2
x%5E2%2815x%5E2%2B7x-2%29........write 7x as 10x-3x
x%5E2%2815x%5E2%2B10x-3x-2%29....group
x%5E2%28%2815x%5E2%2B10x%29-%283x%2B2%29%29
x%5E2%285x%283x%2B2%29-%283x%2B2%29%29
x%5E2%285x-1%29%283x%2B2%29