Advertisements
Advertisements
प्रश्न
(x+1) is a factor of xn + 1 only if
पर्याय
n is an odd integer
n is an even integer
n is a negative integer
n is a positive integer
MCQ
Advertisements
उत्तर
The linear polynomial (x - 1)is a factor of `x^n + 1,`only if `f(-1) = (-1)^n + 1 = 0`
If n is odd integer, then `f(-1) = -1 + 1 = 0`
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
f(x) = 4x4 − 3x3 − 2x2 + x − 7, g(x) = x − 1
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x .
In the following two polynomials, find the value of a, if x + a is a factor x3 + ax2 − 2x +a + 4.
x3 + 2x2 − x − 2
y3 − 7y + 6
x3 − 3x2 − 9x − 5
x4 − 2x3 − 7x2 + 8x + 12
Factorise the following:
`sqrt(5)"a"^2 + 2"a" - 3sqrt(5)`
Which of the following has x – 1 as a factor?
Factorise:
x3 – 6x2 + 11x – 6
