Advertisements
Advertisements
प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
Advertisements
उत्तर १
Let p(x) = x3 + 3x2 + 3x + 1
x = 0
∴ Remainder = (0)3 + 3(0)2 + 3(0) + 1
= 1
Therefore, the remainder is 1.
उत्तर २
By long division,

Therefore, the remainder is 1.
APPEARS IN
संबंधित प्रश्न
Find the remainder when x3 – ax2 + 6x – a is divided by x – a.
Using the Remainder Theorem, factorise the following completely:
3x3 + 2x2 – 19x + 6
The polynomials 2x3 – 7x2 + ax – 6 and x3 – 8x2 + (2a + 1)x – 16 leaves the same remainder when divided by x – 2. Find the value of ‘a’.
Find without division, the remainder in the following:
5x3 - 7x2 +3 is divided by (x-1)
Find the values of p and q in the polynomial f(x)= x3 - px2 + 14x -q, if it is exactly divisible by (x-1) and (x-2).
What number should be added to polynomial f(x)= 12x3 + 16x2 - 5x - 8 so that the resulting polynomial is exactly divisible by (2x - 1) ?
(x – 2) is a factor of the expression x3 + ax2 + bx + 6. When this expression is divided by (x – 3), it leaves the remainder 3. Find the values of a and b.
By remainder theorem, find the remainder when, p(x) is divided by g(x) where, p(x) = x3 – 3x2 + 4x + 50; g(x) = x – 3
What must be subtracted from the polynomial x3 + x2 – 2x + 1, so that the result is exactly divisible by (x – 3)?
The remainder, when x3 – x2 + x – 1 is divided by x + 1, is ______.
