Advertisements
Advertisements
Question
If x51 + 51 is divided by x + 1, then the remainder is
Options
0
1
49
50
Solution
50
Explanation;
Hint:
p(x) = x51 + 51
p(−1)= (−1)51 + 51
= −1 + 51
= 50
APPEARS IN
RELATED QUESTIONS
Using the Remainder and Factor Theorem, factorise the following polynomial:
`x^3 + 10x^2 - 37x + 26`
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 1
Find without division, the remainder in the following :
x3 + 8x2 + 7x- 11 is divisible by (x+4)
A polynomial f(x) when divided by (x - 1) leaves a remainder 3 and when divided by (x - 2) leaves a remainder of 1. Show that when its divided by (x - i)(x - 2), the remainder is (-2x + 5).
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
When divided by x – 3 the polynomials x3 – px2 + x + 6 and 2x3 – x2 – (p + 3)x – 6 leave the same remainder. Find the value of ‘p’.
Use the Remainder Theorem to factorise the following expression:
2x3 + x2 – 13x + 6
If on dividing 2x3 + 6x2 – (2k – 7)x + 5 by x + 3, the remainder is k – 1 then the value of k is
For what value of m is x3 – 2mx2 + 16 divisible by x + 2?
The polynomial p(x) = x4 – 2x3 + 3x2 – ax + 3a – 7 when divided by x + 1 leaves the remainder 19. Find the values of a. Also find the remainder when p(x) is divided by x + 2.
