Question

Q. Examine whether x+2 is a factor of the polynomial 2x+4.​

Answer 1

Given p(x)=x3+2x2+3x+6 and g(x)=x+2

Then g(x)=0 so x=−2 replace x by −2 we get

p(−2)=(−2)3+2(−2)2+3(−2)+6

p(−2)=−8+8−6+6

p(−2)=0

So remainder is zero then x+2 is factor of x3+2x2+3x+6

Answer 2

Answer:

yes

Step-by-step explanation:

x+2=0

which implies x=-2

f(x)=2x+4

putting x=-2

implies

f(x)=2(-2)+4

f(x)=0

this means x+2 is a factor of the polynomial 2x+4