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 the remainder when x3 + 3x2 + 3x + 1 is divided by x+1.
Using the Remainder Theorem, factorise the following completely:
3x3 + 2x2 – 19x + 6
Polynomials bx2 + x + 5 and bx3 − 2x + 5 are divided by polynomial x - 3 and the remainders are m and n respectively. If m − n = 0 then find the value of b.
Find the values of m and n when the polynomial f(x)= x3 - 2x2 + m x +n has a factor (x+2) and leaves a remainder 9 when divided by (x+1).
What number should be subtracted from the polynomial f(x)= 2x3 - 5x2 +8x -17 so that the resulting polynomial is exactly divisible by (2x - 5)?
Find the remainder when the polynomial f(x) = 2x4 - 6x3 + 2x2 - x + 2 is divided by x + 2.
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1
Find the remainder (without division) on dividing f(x) by (2x + 1) where f(x) = 4x2 + 5x + 3
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by 2x + 1
If the polynomials az3 + 4z2 + 3z – 4 and z3 – 4z + a leave the same remainder when divided by z – 3, find the value of a.
