Advertisements
Advertisements
Question
When 2x3 – x2 – 3x + 5 is divided by 2x + 1, then the remainder is
Options
6
– 6
– 3
0
Advertisements
Solution
f(x) = 2x3 – x2 – 3x + 5
g(x) = 2x + 1
Let 2x + 1 = 0,
then x = `(-1)/(2)`
Then remainder will be
`f((-1)/(2)) = 2((-1)/(2))^3 - ((-1)/(2))^2 -3((-1)/(2)) + 5`
= `2 xx (-1)/(8) - (1)/(4) + (3)/(2) + 5`
= `(-1)/(4) - (1)/(4) + (3)/(2) + 5`
= `(-1 -1 + 6 + 20)/(4)`
= `(24)/(4)`
= 6
∴ Remainder = 6.
APPEARS IN
RELATED QUESTIONS
Using remainder theorem, find the value of k if on dividing 2x3 + 3x2 – kx + 5 by x – 2, leaves a remainder 7.
Find the remainder when x3 + 3x2 – 12x + 4 is divided by x – 2.
When x3 + 2x2 – kx + 4 is divided by x – 2, the remainder is k. Find the value of constant k.
What number should be added to 3x3 – 5x2 + 6x so that when resulting polynomial is divided by x – 3, the remainder is 8?
Using the Remainder Theorem, factorise the following completely:
x3 + x2 – 4x – 4
Find the number which should be added to x2 + x + 3 so that the resulting polynomial is completely divisible by (x + 3).
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 (without division) when 2x3 – 3x2 + 7x – 8 is divided by x – 1 (2000)
Using remainder theorem, find the value of a if the division of x3 + 5x2 – ax + 6 by (x – 1) leaves the remainder 2a.
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
