Solve f(x)=x^3/3890000-7x^2/8650+5927801x/168242500+1/27

$$f ( x ) = \frac { x ^ { 3 } } { 3890000 } - \frac { 7 x ^ { 2 } } { 8650 } + \frac { 5927801 x } { 168242500 } + \frac { 1 } { 27 }$$

Evaluate

$$\frac{x^{3}}{3890000}-\frac{7x^{2}}{8650}+\frac{5927801x}{168242500}+\frac{1}{27}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3890000 and 8650 is 672970000. Multiply \frac{x^{3}}{3890000} times \frac{173}{173}. Multiply \frac{7x^{2}}{8650} times \frac{77800}{77800}.

$$\frac{173x^{3}}{672970000}-\frac{77800\times 7x^{2}}{672970000}+\frac{5927801x}{168242500}+\frac{1}{27}$$

Since \frac{173x^{3}}{672970000} and \frac{77800\times 7x^{2}}{672970000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{173x^{3}-77800\times 7x^{2}}{672970000}+\frac{5927801x}{168242500}+\frac{1}{27}$$

Do the multiplications in 173x^{3}-77800\times 7x^{2}.

$$\frac{173x^{3}-544600x^{2}}{672970000}+\frac{5927801x}{168242500}+\frac{1}{27}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 672970000 and 168242500 is 672970000. Multiply \frac{5927801x}{168242500} times \frac{4}{4}.

$$\frac{173x^{3}-544600x^{2}}{672970000}+\frac{4\times 5927801x}{672970000}+\frac{1}{27}$$

Since \frac{173x^{3}-544600x^{2}}{672970000} and \frac{4\times 5927801x}{672970000} have the same denominator, add them by adding their numerators.

$$\frac{173x^{3}-544600x^{2}+4\times 5927801x}{672970000}+\frac{1}{27}$$

Do the multiplications in 173x^{3}-544600x^{2}+4\times 5927801x.

$$\frac{173x^{3}-544600x^{2}[phone]x}{672970000}+\frac{1}{27}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 672970000 and 27 is 18170190000. Multiply \frac{173x^{3}-544600x^{2}[phone]x}{672970000} times \frac{27}{27}. Multiply \frac{1}{27} times \frac{672970000}{672970000}.

$$\frac{27\left(173x^{3}-544600x^{2}[phone]x\right)}{18170190000}+\frac{672970000}{18170190000}$$

Since \frac{27\left(173x^{3}-544600x^{2}[phone]x\right)}{18170190000} and \frac{672970000}{18170190000} have the same denominator, add them by adding their numerators.

$$\frac{27\left(173x^{3}-544600x^{2}[phone]x\right)[phone]}{18170190000}$$

Do the multiplications in 27\left(173x^{3}-544600x^{2}[phone]x\right)[phone].

$$\frac{4671x^{3}-14704200x^{2}[phone]x+672970000}{18170190000}$$

Factor

$$\frac{4671x^{3}-14704200x^{2}[phone]x+672970000}{18170190000}$$

Solution Steps

Factor out \frac{1}{18170190000}. Polynomial 4671x^{3}-14704200x^{2}[phone]x+672970000 is not factored since it does not have any rational roots.

$$\frac{4671x^{3}-14704200x^{2}[phone]x+672970000}{18170190000}$$