Solve 3x^4+x^2/3+1

$$3 x ^ { 4 } + \frac { x ^ { 2 } } { 3 } + 1$$

Evaluate

$$3x^{4}+\frac{x^{2}}{3}+1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3x^{4}+1 times \frac{3}{3}.

$$\frac{3\left(3x^{4}+1\right)}{3}+\frac{x^{2}}{3}$$

Since \frac{3\left(3x^{4}+1\right)}{3} and \frac{x^{2}}{3} have the same denominator, add them by adding their numerators.

$$\frac{3\left(3x^{4}+1\right)+x^{2}}{3}$$

Do the multiplications in 3\left(3x^{4}+1\right)+x^{2}.

$$\frac{9x^{4}+3+x^{2}}{3}$$

Factor

$$\frac{9x^{4}+x^{2}+3}{3}$$

Solution Steps

Factor out \frac{1}{3}. Polynomial 9x^{4}+x^{2}+3 is not factored since it does not have any rational roots.

$$\frac{9x^{4}+x^{2}+3}{3}$$