Factor the given expression below

Question

P(x)=2x³+3x²-8x+3

P(x)=x⁶-3x³-28

Answer 1

(x-1)(2x^2 +5x-3) = (x-1)(2x-1)(x+3)

try a simple integer such as x=1 as a root. 2+3-8+3 =0. then divide x-1 into the cubic polynomial

Let z= x^3

z^2 - 3z - 28 = (z-7)(z+4) = (x^3-7)(x^3+4)