Q. 11 D4.7( 6 Votes )
(x + 1) is a factor of the polynomial xn + 1 when
A. n is a positive odd integer
B. n is a positive even integer
C. n is a negative integer
D. n is a positive integer
Answer :
As we know that (x + y) is a factor of the polynomial xn + yn, when n is an odd positive integer, so here we can see that y = 1, so, we can say that (x + 1) is a factor of the polynomial xn + 1 when n is a positive odd integer.
Hence the correct option is (a).
Rate this question :
Polynomial Identities31 mins
Zeros and Degrees of a Polynomial41 mins
Polynomial Identities in a Different Way43 mins
Methods to find zeroes of a polynomial 139 mins
Methods to find zeroes of a Polynomial-246 mins
How to avoid Polynomial Long Division when finding factors.40 mins
Concept of Zero & Degree of a Polynomial.54 mins
Champ Quiz | Geometrical Meaning of the Zeroes of a Polynomial38 mins
By applying Remainder Theorem, let us calculate and write the remainder that I shall get in every cases, when x3 – 3x2 + 2x + 5 is divided by
x – 2
West Bengal MathematicsBy applying Remainder Theorem, let us calculate and write the remainder that I shall get in every cases, when x3 – 3x2 + 2x + 5 is divided by
2x + 1
West Bengal MathematicsBy applying Remainder Theorem, let us calculate and write the remainders, that I shall get when the following polynomials are divided by (x – 1).
11x3 – 12x2 – x + 7
West Bengal MathematicsBy applying Remainder Theorem, let us calculate and write the remainders, that I shall get when the following polynomials are divided by (x – 1).
4x3 + 4x2 – x – 1
West Bengal MathematicsApplying Remainder Theorem, let us calculate whether the polynomial.
P(x) = 4x3 + 4x2 – x – 1 is a multiple of (2x + 1) or not.
West Bengal MathematicsApplying Remainder Theorem, let us write the remainders, when,
the polynomial x3 – ax2 + 2x – a is divided by (x – a)
West Bengal MathematicsBy applying Remainder Theorem, let us calculate and write the remainders, that I shall get when the following polynomials are divided by (x – 1).
x3 – 6x2 + 13x + 60
West Bengal MathematicsLet us show that if n be any positive integer (even or odd), the x – y never be a factor of the polynomial xn + yn.
West Bengal Mathematics