Question

determine = (x+1) is a factor of x power4 +3x cube +3x square + x + 1​

Answer 1

Step-by-step explanation:

if x+1 is a factor of given polynomial

then say x+1 = 0=> x = -1 is put in ,the polynomial

should be zero.

=> x⁴+3x³+3x²+x+1

=> (-1)⁴+3(-1)³+3(-1)²+(-1)+1

= 1-3+3-1+1

= 1

therefore x+1 is not a factor of given polynomial

hope this helps you

Answer 2

Answer:

The zero of x+1 is −1

Let p(x)=x

4

+3x

3

+3x

2

+x+1

Then, p(−1)=(−1)

4

+3(−1)

3

+3(−1)

2

+(−1)+1

=1−3+3−1+1=1

Since, p(−1)



=0

Therefore, by Factor theorem, x+1 is not a factor of x

4

+3x

3

+3x

2

+x+1