Question

Mathematics
Class - 9th
Unit - 2 Polynomials
Exercise - 2.4
Q.1 Determine which of the following polynomials has (x+1) a factor :
c. x⁴ + 3x³ + 3x² + x + 1

Answer 1

Answer:

(X+1) is not a factor

Step-by-step explanation:

step:1

g(X)=X+1=0

=X=0-1

=X=-1

f(X)=x^(4)+3x^(3)+3x^(2)+x+1

f(X)=f(-1)

f(-1)=-1^(4)+3×-1^(3)+3×-1^(2)+(-1)+1

=1-3+3-1+1

=1+0+0

R =1

therefore, 1 is not equal to 0

so, (X+1) is not a factor

hence, No