Advertisements
Advertisements
प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`
Advertisements
उत्तर १
Let p(x) = x3 + 3x2 + 3x + 1
`x-1/2 = 0 ⇒ x = 1/2`
`therefore "Remainder "= (1/2)^3 + 3(1/2)^2 + 3(1/2) + 1`
`= 1/8 +3/4+3/2+1`
`= 27/8`
Therefore, the remainder is `27/8" ."`
उत्तर २
By long division,
Therefore, the remainder is `27/8" ."`
संबंधित प्रश्न
Find 'a' if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leaves the same remainder when divided by x + 3.
Use the Remainder Theorem to factorise the following expression:]
`2x^3 + x^2 - 13x + 6`
Using the Remainder Theorem, factorise each of the following completely.
3x3 + 2x2 − 19x + 6
What number should be added to 2x3 - 3x2 + 7x -8 so that the resulting polynomial is exactly divisible by (x-1) ?
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1
If (x – 2) is a factor of the expression 2x3 + ax2 + bx – 14 and when the expression is divided by (x – 3), it leaves a remainder 52, 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 is the remainder when x2018 + 2018 is divided by x – 1
Determine which of the following polynomials has x – 2 a factor:
4x2 + x – 2
4x2 – kx + 5 leaves a remainder 2 when divided by x – 1. The value of k is ______.
