SOLUTION: Good evening, My question really involves function operations and I was wondering if anybody could help me. The question is suppose that f(x)=x^2-x and g(x)=2x+1. What is f times

Algebra ->  Rational-functions -> SOLUTION: Good evening, My question really involves function operations and I was wondering if anybody could help me. The question is suppose that f(x)=x^2-x and g(x)=2x+1. What is f times      Log On


   

Question 883021: Good evening,
My question really involves function operations and I was wondering if anybody could help me. The question is suppose that f(x)=x^2-x and g(x)=2x+1. What is f times g(x). The answer I received was 2x^3+x^2+x am I correct. Please get back to me when you can. Thank you in advance.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Try again and watch the signs carefully.


In a grid or lattice form,


_______________x^2__________-x
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-
____2x________2x^3_________-2x^2
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____1_________x^2__________-x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
suppose that f(x)=x^2-x and g(x)=2x+1. What is f times g(x). The answer I received was 2x^3+x^2+x am I correct.
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f*g(x) = (x^2-x)(2x+1) = x^2(2x+1) -x(2x+1)
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= 2x^3 + x^2 - 2x^2 -x
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= 2x^3 - x^2 - x
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Cheers,
Stan H.
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