Decide whether (x + 1) is a factor of the polynomial (x^3+x^2-x-1) or not.
Answers
Answered by
102
Given: (x + 1), (x^3 + x^2 - x - 1).
To find: Whether (x + 1) is a factor of (x^3 + x^2 - x - 1).
Answer:
Using factor theorem x + 1 = 0.
x = 0 - 1
x = -1
Let p(x) = (x^3 + x^2 - x - 1).
p(-1) = ((-1)^3 + (-1)^2 - (-1) - 1)
p(-1) = -1 + 1 + 1 - 1
p(-1) = 0
Therefore, (x + 1) is a factor of (x^3 + x^2 - x - 1).
Hope it helps :)
Answered by
48
PLEASE MAKE AS BRAINLIEST ♥️♥️♥️
x + 1 = 0
x = -1
EQUATION IS ,
x^3 + x^2 - X - 1 = 0
put value of X in above equation , we get,
(-1)^3 + (-1)^2 - (-1) -1 = 0
-1 + 1 + 1 -1 = 0
0 = 0
Hence , (x+1) is the factor of the given equation.
x + 1 = 0
x = -1
EQUATION IS ,
x^3 + x^2 - X - 1 = 0
put value of X in above equation , we get,
(-1)^3 + (-1)^2 - (-1) -1 = 0
-1 + 1 + 1 -1 = 0
0 = 0
Hence , (x+1) is the factor of the given equation.
Similar questions