check whether the polynomial p(x)=x-3is a factor of Q(x)=2x⁴+3x³-2x

1.	check whether the polynomial p(x)=x-3is a factor of Q(x)=2x⁴+3x³-2x²-9x-4 without doing division processes
Answer» $\huge\underline\mathfrak\red{AnSwEr}$ FIRST we will FIND the ZERO of x-3 that will be- $x - 3 = 0$ $x = 0 + 3$ $x = 3$ _____________________________________ Now ATQ:- $Q(x)=2x⁴+3x³-2x²-9x-4$ $Q(3)=2(3)⁴+3(3)³-2(3)²-9(3)-4$ $= > 162 + 81 - 18 - 27 - 4$ $= > 194 \: ans$ _____________________________________ $\therefore$ x-3 is not a FACTOR.