Evaluate
2x^{2}+7x+4
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2x^{2}+7x+4
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\frac{2\left(x-\left(-\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)\left(x^{2}-2x+3\right)}{x^{2}-2x+3}
Factor the expressions that are not already factored.
2\left(x-\left(-\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)
Cancel out x^{2}-2x+3 in both numerator and denominator.
2x^{2}+7x+4
Expand the expression.
\frac{2\left(x-\left(-\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)\left(x^{2}-2x+3\right)}{x^{2}-2x+3}
Factor the expressions that are not already factored.
2\left(x-\left(-\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{17}-\frac{7}{4}\right)\right)
Cancel out x^{2}-2x+3 in both numerator and denominator.
2x^{2}+7x+4
Expand the expression.
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