SOLUTION: What is the coefficient of x^2 in the normal form of the polynomial (x^2+2x-1)(3x-2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the coefficient of x^2 in the normal form of the polynomial (x^2+2x-1)(3x-2)      Log On


   

Question 919229: What is the coefficient of x^2 in the normal form of the polynomial (x^2+2x-1)(3x-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Expand out the polynomial, combine like terms and simplify as much as possible.

%28x%5E2%2B2x-1%29%283x-2%29

%283x-2%29%28x%5E2%2B2x-1%29

3x%28x%5E2%2B2x-1%29-2%28x%5E2%2B2x-1%29

3x%5E3%2B6x%5E2-3x-2x%5E2-4x%2B2

3x%5E3%2B4x%5E2-7x%2B2

So the coefficient of the x%5E2 term is 4

Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,

Jim