I've tried this problem like 7 times and still struggling:
f(x)=9x^3+2x^2-5x+4
and g(x)=5x^3-7x+4
so what is f(x)-g(x)? My answer was 4x^3+2x^2+2x...... is this correct? If not please help.
f(x)-g(x)
= 9x^3+2x^2-5x+4 -(5x^3-7x+4)
= 9x^3+2x^2-5x+4 -5x^3+7x-4
= 4x^2 + 2x^2 + 2x
looks like you are correct
thank you so much!
To find f(x) - g(x), you simply subtract the corresponding terms of the two polynomials. Let's break it down step by step:
Step 1: Subtract the respective coefficients of the same-degree terms:
f(x) = 9x^3 + 2x^2 - 5x + 4
g(x) = 5x^3 - 7x + 4
For the degree 3 terms:
9x^3 - 5x^3 = 4x^3
Step 2: For the degree 2 terms:
2x^2 - 0x^2 = 2x^2
Step 3: For the degree 1 terms:
-5x - (-7x) = -5x + 7x = 2x
Step 4: For the constant terms:
4 - 4 = 0
Now, let's assemble the resulting polynomial:
f(x) - g(x) = 4x^3 + 2x^2 + 2x + 0
So, your answer, 4x^3 + 2x^2 + 2x, is indeed correct. Well done!