Advertisements
Advertisements
Question
If x51 + 51 is divided by x + 1, the remainder is
Options
0
1
49
50
Advertisements
Solution
As f(x) = x51 + 51 is divided by (x +1).
The remainder will be
`f(-1) = (-1)^51 + 51`
`= -1 + 51`
` = 50`
APPEARS IN
RELATED QUESTIONS
Write the degrees of each of the following polynomials
`7x3 + 4x2 – 3x + 12`
Write the degrees of the following polynomials:
7
Identify polynomials in the following:
`q(x)=2x^2-3x+4/x+2`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`g(x)=2x^3-7x+4`
f(x) = 2x4 − 6x3 + 2x2 − x + 2, g(x) = x + 2
The value of k for which x − 1 is a factor of 4x3 + 3x2 − 4x + k, is
When x3 − 2x2 + ax − b is divided by x2 − 2x − 3, the remainder is x − 6. The values of a and b are respectively
(x+1) is a factor of xn + 1 only if
Factorise the following:
6x2 + 16xy + 8y2
Factorise the following:
m2 + 2mn – 24n2
