Question

Examine Whether X+2 Is A Factor Of X^3+3X^2+5X+6 And Of 2X+4

Answer 1

p(x)=x^3+3x^2+5x+6

g(x)=x+2

       x=-2

put x=-2 in p(x)

p(-2)=(-2)^3+3(-2)^2+5(-2)+6

       =-8+12-10+6

      =0

since p(x) is zero 

x+2 is a factor of x3+3x2+5x+6

checking:::::-

let x=-2

q(x)=2x+4

q(-2)=2(-2)+4

       =-4+4

       =0

since reminder is zero

x+2 is a factor of 2x+4