Question

Factorize algebraic expressions: 15xy+2y-3x²y

Answer 1

$$-3x^2y+15xy+2y=y(-3x^2+15x+2)$$

$D=(15)^2-4(-3)(2)=249$

$$x=\dfrac{-15\pm\sqrt{249}}{2(-3)}$$

$$x_1=\dfrac{15-\sqrt{249}}{6}, x_2=\dfrac{15+\sqrt{249}}{6}$$

$$-3x^2y+15xy+2y$$

$$=-3y(x-\dfrac{15-\sqrt{249}}{6})(x-\dfrac{15+\sqrt{249}}{6})$$