Let f(x)=-16x^2-x^3 and g(x)=-2-4x^2. Then f(x)-g(x) equals____?
A. 1-2x^2-x^3
B. -1-2x^2+x^3
C. 1+2x^2-x^3
D. -1+2x^2+x^3
- 16 x ^ 2 - x ^ 3 - ( - 2 - 4 x ^ 2 ) =
- 16 x ^ 2 - x ^ 3 + 2 + 4 x ^ 2 =
- x ^ 3 - 12 x ^ 2 + 2
None of the above.
-12x^2 -x^3 +2
Did you copy the choices correctly?
shoot! the problems f(x)=-1-6x^2-x^3 and g(x)=-2-4x^2, then f(x)-g(x) equals___? then same choices i have above.. im sorry! thank you for doing this though! i didn't realize i copied it wrong.. :(
- 1 - 6 x ^ 2 - x ^ 3 - ( - 2 - 4 x ^ 2 ) =
- 1 - 6 x ^ 2 - x ^ 3 + 2 + 4 x ^ 2 =
- x ^ 3 - 2 x ^ 2 + 1
OR
1 - 2 x ^ 2 - x ^ 3
Answer A.
To find the value of f(x)-g(x), we can subtract the expressions f(x) and g(x) term by term.
1. Start with the expression for f(x): -16x^2 - x^3
2. Subtract g(x) term by term: -(-2 - 4x^2)
- Distribute the negative sign to each term in g(x): 2 + 4x^2
3. Combine like terms: -16x^2 - x^3 - 2 - 4x^2
- Combine the x^2 terms: (-16x^2 - 4x^2) - x^3
- Simplify: -20x^2 - x^3
4. The resulting expression is -20x^2 - x^3.
So, the expression f(x) - g(x) is equal to -20x^2 - x^3.
Therefore, the correct answer is option D: -1 + 2x^2 + x^3.