Question

without actual division show that x^2 + 3x+2 is a factor of 2x^4 -6x^3 + 3x^2 + 3x - 2​

Answer 1

Step-by-step explanation:

x²+3x+2

x²+x+2x+2

x(x+1)+2(x+1)

(x+1)(x+2)

therefore roots of the polynomial are -1,-2

x=-1

substitute the value of x in polynomial 2x⁴-6x³+3x²-3x-2

2(-1)⁴-6(-1)³+3(-1)²-3(-1)-2

2+6+3+3-2

12

your question is wrong x²+3x+2 is not a factor of the given polynomial