Advertisements
Advertisements
प्रश्न
Find the remainder (without division) on dividing f(x) by (2x + 1) where f(x) = 4x2 + 5x + 3
Advertisements
उत्तर
Let 2x + 1 = 0, then x = `-(1)/(2)`
Substituting the value of x in f(x):
f(x) = 4x2 + 5x + 3
= `4(-1/2)^2 + 5 xx (-1/2) + 3`
= `4 xx (1)/(4) - (5)/(2) + 3`
= `1 - (5)/(2) + 3`
= `4 - (5)/(2)`
= `(3)/(2)`
∴ Remainder = `(3)/(2)`.
APPEARS IN
संबंधित प्रश्न
Check whether 7 + 3x is a factor of 3x3 + 7x.
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?
What number should be subtracted from x3 + 3x2 – 8x + 14 so that on dividing it by x – 2, the remainder is 10?
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(x2 − 7x + 9) ; (x + 1)
Find without division, the remainder in the following:
5x2 - 9x + 4 is divided by (x - 2)
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
Find the remainder when the polynomial f(x) = 2x4 - 6x3 + 2x2 - x + 2 is divided by x + 2.
When a polynomial f(x) is divided by (x – 1), the remainder is 5 and when it is,, divided by (x – 2), the remainder is 7. Find – the remainder when it is divided by (x – 1) (x – 2).
Check whether p(x) is a multiple of g(x) or not:
p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2
