Question

factorize $2x^{3}$ - $3x^{2}$-17x+30

Answer 1

2x³ - 3x² -17x + 30

2x³ -2x² -2x² - 17x + 30

(2x³- x²) - (2x² + 17x - 30)

(2x³ - x²) - (2x² + 20x - 3x - 30)

x²(2x - 1) - {2x(x+10)-3(x+10)}

x²(2x - 1) - {(2x - 3)(x + 10)}

x²(2x - 1) - (2x - 3)(x + 10)

x²(2x - 1) - (2x - 1 - 2)(x+10)

(2x-1){x²-(1-2)(x+10)}

(2x-1){x² + 1(x+10)}