Solve 2*5x^2-0*5x+1div5

$$2 \cdot 5 { x }^{ 2 } -0 \cdot 5x+1 \div 5$$

Evaluate

$$10x^{2}+\frac{1}{5}$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10x^{2}-0\times 5x+\frac{1}{5}$$

Multiply 0 and 5 to get 0.

$$10x^{2}-0x+\frac{1}{5}$$

Anything times zero gives zero.

$$10x^{2}-0+\frac{1}{5}$$

Multiply -1 and 0 to get 0.

$$10x^{2}+0+\frac{1}{5}$$

Anything plus zero gives itself.

$$10x^{2}+\frac{1}{5}$$

Factor

$$\frac{50x^{2}+1}{5}$$

Solution Steps

Factor out \frac{1}{5}. Polynomial 50x^{2}+1 is not factored since it does not have any rational roots.

$$\frac{50x^{2}+0+1}{5}$$