Question

find the value of m if x+6is factor of the polynomial x²+3x+m​

Answer 1

x + 4 is a factor of the polynomialx2+3x+m

⟹x2+3x+m≡0(modx+4)

⟹x2+4x−x+m≡0(modx+4)

⟹x(x+4)−x+m≡0(modx+4)

⟹−x+m≡0(modx+4)

⟹x−m≡0(modx+4)

⟹m=−4

Answer 2

Answer:

m=-18

Step-by-step explanation:

x+6 is a  factor of polynomial x²+3x+m

then, x+6=0

x=-6

polynomial becomes zero when we keep x = -6

x²+3x+m

(-6)²+3(-6)+m=0

36-18+m=0

18+m=0

m=-18