SOLUTION: Let f(x)=3x³+4x²-5x+1 and g(x)=-6x²+7x-5 Compute (1) f(x)+g(x) (2) f(x)-g(x) (3) f(x).g(x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let f(x)=3x³+4x²-5x+1 and g(x)=-6x²+7x-5 Compute (1) f(x)+g(x) (2) f(x)-g(x) (3) f(x).g(x)      Log On


   

Question 1176802: Let f(x)=3x³+4x²-5x+1 and g(x)=-6x²+7x-5
Compute (1) f(x)+g(x) (2) f(x)-g(x) (3) f(x).g(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=3x%5E3%2B4x%5E2-5x%2B1 and g%28x%29=-6x%5E2%2B7x-5
Compute
(1)
f%28x%29%2Bg%28x%29+=3x%5E3%2B4x%5E2-5x%2B1%2B%28-6x%5E2%2B7x-5%29
f%28x%29%2Bg%28x%29+=3x%5E3%2B4x%5E2-5x%2B1-6x%5E2%2B7x-5
f%28x%29%2Bg%28x%29+=3x%5E3-2x%5E2%2B2x-4

(2)

f%28x%29-g%28x%29+=3x%5E3%2B4x%5E2-5x%2B1-%28-6x%5E2%2B7x-5%29
f%28x%29-g%28x%29+=3x%5E3%2B4x%5E2-5x%2B1%2B6x%5E2-7x%2B5
f%28x%29-g%28x%29+=3x%5E3%2B10x%5E2-12x%2B6
(3)
f%28x%29%2Ag%28x%29=%283x%5E3%2B4x%5E2-5x%2B1%29%28-6x%5E2%2B7x-5%29....multiply each term of first polynomial by each term of second polynomial
......simplify (add like terms)
f%28x%29%2Ag%28x%29=-18+x%5E5+-+3x%5E4+%2B+43x%5E3+-+61x%5E2+%2B+32x+-+5+++