Advertisements
Advertisements
प्रश्न
If x51 + 51 is divided by x + 1, the remainder is ______.
विकल्प
0
1
49
50
Advertisements
उत्तर
If x51 + 51 is divided by x + 1, the remainder is 50.
Explanation:
Let f(x) = x51 + 51
We know that when f(x) is divided by x + a, then the remainder is f(–a).
So, remainder is
f(–1) = (–1)51 + 51
= –1 + 51
= 50
APPEARS IN
संबंधित प्रश्न
Find ‘a‘ if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leave the same remainder when divided by x + 3.
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’.
What number should be added to polynomial f(x)= 12x3 + 16x2 - 5x - 8 so that the resulting polynomial is exactly divisible by (2x - 1) ?
Given f(x) = ax2 + bx + 2 and g(x) = bx2 + ax + 1. If x – 2 is a factor of f(x) but leaves the remainder – 15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expression. f(x) + g(x) + 4x2 + 7x.
When x3 – 3x2 + 5x – 7 is divided by x – 2,then the remainder is
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x – 2
When a polynomial f(x) is divided by (x – 1), the remainder is 5 and when it is,, divided by (x – 2), the remainder is 7. Find – the remainder when it is divided by (x – 1) (x – 2).
If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k = ?
By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: x4 + 1; x – 1
Check whether p(x) is a multiple of g(x) or not:
p(x) = 2x3 – 11x2 – 4x + 5, g(x) = 2x + 1
