Question

check whether (x+3) is a factor of x⁴-4x³+2x²+3x-5​

Answer 1

Answer:

x+3=0

x=-3

P(x)=x⁴-4x³+2x²+3x-5

P(-3)=(-3)⁴-4(-3)³+2(-3)²+3(-3)-5

P(-3)=81-4×-27+2×9-9-5

P(-3)=81+108+18-9-5

P(-3)=207-14

P(-3)=193

Therefore, (x+3) is not a factor of x⁴-4x³+2x²+3x-5