Question

X+1 is a factor of which of the following polynomial?
x3 + x2 - x + 1
x3 + x2 + x + 1
x4 + x3 + x² + 1
x4 + 3x2 + x + 1​

Answer 1

Step-by-step explanation:

The answer is option 2

x+1 is the factor of x3+x2+x+1

So Sorry my hand writing is not so good

Hope it helps you

Answer 2

Step-by-step explanation:

(1) Let P(x) = x³+x²–x+1

x+1= 0

x = –1

P(–1) =(-1)³ +(-1)²–(‐1) +1

= –1 +1 +1+1

= –1 +3

= –2

(2) P(–1) = (-1)³ +(-1)² +(‐1) +1

= –1 +1 –1 +1

= –2+2 = 0

(3) P (–1) = (–1)⁴+ (‐1)³ +(–1)² +1

= 1 –1+1+1

= 3–1 =2

(4) P(–1) = (–1)⁴+ 3(–1)² +(–1) +1

= 1 +3–1 +1

= 5–1 = 4

(x+1) is the factor of( x³+ x² + x+1).

thanks