Solve {l}{2x^2-11x+1}{15}

$$\left. \begin{array} { l } { 2 x ^ { 2 } - 11 x + 1 } \\ { 15 } \end{array} \right.$$

Least Common Multiple

$$\frac{15\left(\left(4x-11\right)^{2}-113\right)}{8}$$

Solution Steps

Factor the expressions that are not already factored.

$$2x^{2}-11x+1=2\left(x-\left(-\frac{1}{4}\sqrt{113}+\frac{11}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{113}+\frac{11}{4}\right)\right) 15=3\times 5$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$30\left(x-\frac{11-\sqrt{113}}{4}\right)\left(x-\frac{\sqrt{113}+11}{4}\right)$$

Expand the expression.

$$30x^{2}-165x+15$$

Evaluate

$$2x^{2}-11x+1,\ 15$$