SOLUTION: Let f(x) = x^3 + 3x ^2 + 4x - 7 and g(x) = -7x^4 + 5x^3 + x^2 - 7. What is the coefficient of x^3 in the sum f(x) + g(x)?

Algebra.Com
Question 1031366: Let f(x) = x^3 + 3x ^2 + 4x - 7 and g(x) = -7x^4 + 5x^3 + x^2 - 7. What is the coefficient of x^3 in the sum f(x) + g(x)?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

Line the like terms up in columns like this and then
just add the terms:

       f(x) =         x³ + 3x² + 4x -  7
       g(x) = -7x⁴ + 5x³ +  x²      -  7
f(x) + g(x) = -7x⁴ + 6x³ + 4x² + 4x - 14 


What is the coefficient of x^3 in the sum f(x) + g(x)?
Look and see.

Edwin


RELATED QUESTIONS

1. Let f(x) = x^3 + 3x ^2 + 4x - 7 and g(x) = -7x^4 + 5x^3 +x^2 - 7. What is the... (answered by Edwin McCravy)
Let f(x) = x^3 + 3x^2 + 4x - 7 and g(x) = 2x^4 - 8x^3 + 4x^2 - 1. What is the... (answered by ikleyn,math_tutor2020)
I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)
If f(x)=3x-7, and g(x)=-x^2+7x find... (answered by stanbon)
find (f . g)(x) and (g . f)(x) for each function f(x)=-6x+9, g(x)=5x+7... (answered by lyra)
For each pair of functions, find (f+g)(x), (f-g)(x), and (fg)(x)...Then evauluate each... (answered by tutorcecilia)
if f(x)=7x+3 and g(x)=5x-7, then... (answered by jim_thompson5910)
Given that {{{f(x)=5x^2-3x+7}}} and {{{f(g(x))=(5x^4/9)+(17x^2/3)+21}}}, find all... (answered by ikleyn)
Let f(x) = 4x - 7 and g(x) = 2x - 3. Find.... (answered by RedemptiveMath)