Solve C(x)=10^-6x^3-(3*10^-3)x^2+36x+2000

$$C ( x ) = 10 ^ { - 6 } x ^ { 3 } - ( 3 \cdot 10 ^ { - 3 } ) x ^ { 2 } + 36 x + 2000$$

Evaluate

$$\frac{x^{3}}{1000000}-\frac{3x^{2}}{1000}+36x+2000$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{1}{1000000}x^{3}-3\times 10^{-3}x^{2}+36x+2000$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{1}{1000000}x^{3}-3\times \frac{1}{1000}x^{2}+36x+2000$$

Multiply 3 and \frac{1}{1000} to get \frac{3}{1000}.

$$\frac{1}{1000000}x^{3}-\frac{3}{1000}x^{2}+36x+2000$$

Factor

$$\frac{x^{3}-3000x^{2}[phone]x+2000000000}{1000000}$$

Solution Steps

Factor out \frac{1}{1000000}. Polynomial x^{3}-3000x^{2}[phone]x+2000000000 is not factored since it does not have any rational roots.

$$\frac{x^{3}-3000x^{2}[phone]x+2000000000}{1000000}$$