Answer:
<u>Given</u>:
- R(x) = 59x - 0.3x²
- C(x) = 3x + 14
<u>Find the following</u>:
- P(x) = R(x) - C(x) = 59x - 0.3x² - 3x - 14 = -0.3x² + 56x - 14
- R(80) = 59(80) - 0.3(80²) = 2800
- C(80) = 3(80) + 14 = 254
- P(80) = 2800 - 254 = 2546
Standard form of polynomial = ax² + bx + c
Zeros: x = {-2,3}
This gives the factors as, (x + 2) (x - 3)
On expanding this:
(x + 2) (x - 3)
x(x - 3) + 2(x - 3)
x² - 3x + 2x - 3
x² - x - 3
Polynomial = <em>x² - x - 3</em>
X intercept is 4/3 because you plug zeros in for y to find the y intercept
