Solve 100/10000000000000x^2+2x+60x^3

$$\frac{ 100 }{ 10000000000000 } { x }^{ 2 } +2x+60 { x }^{ 3 }$$

Factor

$$\frac{x\left(6000000000000x^{2}+x+200000000000\right)}{100000000000}$$

Solution Steps

Factor out \frac{1}{100000000000}.

$$\frac{x^{2}[phone]x+6000000000000x^{3}}{100000000000}$$

Consider x^{2}[phone]x+6000000000000x^{3}. Factor out x.

$$x\left(x+200000000000+6000000000000x^{2}\right)$$

Rewrite the complete factored expression. Polynomial x+200000000000+6000000000000x^{2} is not factored since it does not have any rational roots.

$$\frac{x\left(x+200000000000+6000000000000x^{2}\right)}{100000000000}$$

Evaluate

$$\frac{x\left(6000000000000x^{2}+x+200000000000\right)}{100000000000}$$

Solution Steps

Reduce the fraction \frac{100}{10000000000000} to lowest terms by extracting and canceling out 100.

$$\frac{1}{100000000000}x^{2}+2x+60x^{3}$$