Solve 15x^4-11x^2y+2y^2

$$15 x ^ { 4 } - 11 x ^ { 2 } y + 2 y ^ { 2 }$$

Factor

$$\left(3x^{2}-y\right)\left(5x^{2}-2y\right)$$

Solution Steps

Consider 15x^{4}-11x^{2}y+2y^{2} as a polynomial over variable x.

$$15x^{4}-11yx^{2}+2y^{2}$$

Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 15x^{4} and n divides the constant factor 2y^{2}. One such factor is 3x^{2}-y. Factor the polynomial by dividing it by this factor.

$$\left(3x^{2}-y\right)\left(5x^{2}-2y\right)$$

Evaluate

$$\left(3x^{2}-y\right)\left(5x^{2}-2y\right)$$