Solve {l}{7x^2+4x-3text{from}}{(8x^2-7x-9)}

$$\left. \begin{array} { l } { 7 x ^ { 2 } + 4 x - 3 \text { from } } \\ { ( 8 x ^ { 2 } - 7 x - 9 ) } \end{array} \right.$$

Least Common Multiple

$$\left(8x^{2}-7x-9\right)\left(3fmor-4x-7x^{2}\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$8x^{2}-7x-9=8\left(x-\left(-\frac{1}{16}\sqrt{337}+\frac{7}{16}\right)\right)\left(x-\left(\frac{1}{16}\sqrt{337}+\frac{7}{16}\right)\right)$$

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

$$\left(8x^{2}-7x-9\right)\left(3fmor-4x-7x^{2}\right)$$

Expand the expression.

$$-56x^{4}+17x^{3}+24fmorx^{2}+91x^{2}-21fmorx+36x-27fmor$$

Evaluate

$$7x^{2}+4x-3fmor,\ 8x^{2}-7x-9$$