Advertisements
Advertisements
प्रश्न
Find the remainder when the polynomial f(x) = 2x4 - 6x3 + 2x2 - x + 2 is divided by x + 2.
Advertisements
उत्तर
If x + 2 = 0
x = -2
f(x) = 2x4 - 6x3 + 2x2 - x + 2, ...[By remainder theorem]
f(-2) = 2(-2)4 - 6(-2)3 + 2(-2)2 - (-2) + 2
= 2(16) -6(-8) + 2(4) + 2 + 2
= 32 + 48 + 8 + 2 + 2 = 92
Hence, required remainder = 92.
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x.
The expression 2x3 + ax2 + bx – 2 leaves remainder 7 and 0 when divided by 2x – 3 and x + 2 respectively. Calculate the values of a and b.
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(2x3 − 2x2 + ax − a) ; (x − a)
Find without division, the remainder in the following:
8x2 - 2x + 1 is divided by (2x+ 1)
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 5x2 – 1x + 4
By remainder theorem, find the remainder when, p(x) is divided by g(x) where, p(x) = 4x3 – 12x2 + 14x – 3; g(x) = 2x – 1
Find the remainder when 3x3 – 4x2 + 7x – 5 is divided by (x + 3)
If x51 + 51 is divided by x + 1, the remainder is ______.
Check whether p(x) is a multiple of g(x) or not:
p(x) = 2x3 – 11x2 – 4x + 5, g(x) = 2x + 1
