Question

value: 3
find f(x) - g(x)
f(x) = 8x⁴ - x³ - 4x²
g(x) = -5x⁴ + 5x²
○ a. 13x⁴ - 7x³ - 10x²
○ b. 13x⁴ - x³ - 9x²
○ c. 13x⁴ - x³ - 16x²
○ d. 13x⁴ - x³ + 10x²

Explanation:

Step1: Substitute given functions

$f(x)-g(x)=(8x^4 - x^3 - 4x^2)-(-5x^4 + 5x^2)$

Step2: Distribute the negative sign

$f(x)-g(x)=8x^4 - x^3 - 4x^2 + 5x^4 - 5x^2$

Step3: Combine like terms

$f(x)-g(x)=(8x^4+5x^4) - x^3 + (-4x^2-5x^2)$
$f(x)-g(x)=13x^4 - x^3 - 9x^2$

Answer:

b. $13x^4 - x^3 - 9x^2$