Question

which of the following polynomial does not have (x+1) as a factor ​

Answer 1

Answer:

2x + 4x

Step-by-step explanation:

Answer 2

Apply remainder theorem

x+1=0

x=−1

Put the value of x=−1 in all equations.

(i) x^3 +x ^2+x+1=(−1) ^3+(−1) ^2

+(−1)+1=−1+1−1+1=0

Then x+1 is the factor of equation

(ii) x^4+x^3+x ^2 +x+1=(−1) ^4 +(−1) ^3

+(−1) ^2+(−1)+1=1−1+1−1+1=1

This is not zero.Then x+1 is not the factor of equation

(iii) x^4+3x^3+3x ^2 +x+1=(−1) ^4 +3(−1) ^3 +3(−1)^2 (−1)+1=1