Question

factorise 2x cube -3x square -17x +30​

Answer 1

Step-by-step explanation:

p(x) = 2x^3 - 3x^2 - 17x + 30

p(2) = 2(2)^3 - 3(2)^2 - 17(2) + 30

p(2) = 16 - 12 -34 + 30

p(2) = 0

therefore p(2) is the root of the polynomial

if x = 2 then x-2=0 is the factor of the polynomial p(x).

2x^2(x-2) + x(x-2) - 15(x-2)

(x-2){2x^2 + x - 15}

(x-2){2x^2 + 6x - 5x - 15}

(x-2){2x(x+3) -5(x+3)}

(x-2)(x+3)(2x-5).

Hope it helps!

Thank you!