Factor
\left(5x^{2}-2\right)\left(x^{2}+3\right)
Evaluate
\left(5x^{2}-2\right)\left(x^{2}+3\right)
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5x^{4}+13x^{2}-6
Multiply and combine like terms.
\left(5x^{2}-2\right)\left(x^{2}+3\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 5x^{4} and n divides the constant factor -6. One such factor is 5x^{2}-2. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: 5x^{2}-2,x^{2}+3.
5x^{4}+13x^{2}-6
Combine -2x^{2} and 15x^{2} to get 13x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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