Factor
\left(x-2y-3\right)\left(2x+y+4\right)
Evaluate
\left(x-2y-3\right)\left(2x+y+4\right)
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2x^{2}+\left(-3y-2\right)x-2y^{2}-11y-12
Consider 2x^{2}-3xy-2y^{2}-2x-11y-12 as a polynomial over variable x.
\left(2x+y+4\right)\left(x-2y-3\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 2x^{2} and n divides the constant factor -2y^{2}-11y-12. One such factor is 2x+y+4. Factor the polynomial by dividing it by this factor.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Limits
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