Advertisements
Advertisements
प्रश्न
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3
Advertisements
उत्तर
Let x – 2 = 0, then x = 2
Substituting value of x in f(x)
f(x) = 2x3 – 7x2 + 3
∴ f(2) – 2(2)3 – 7(2)2 + 3 = 16 – 28 + 3
Hence Reminnder = –9.
APPEARS IN
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x+1.
Use the Remainder Theorem to factorise the following expression:]
`2x^3 + x^2 - 13x + 6`
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(54m3 + 18m2 − 27m + 5) ; (m − 3)
Find without division, the remainder in the following:
5x2 - 9x + 4 is divided by (x - 2)
Find without division, the remainder in the following:
5x3 - 7x2 +3 is divided by (x-1)
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by 2x + 1
Check whether p(x) is a multiple of g(x) or not
p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2
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 must be subtracted from the polynomial x3 + x2 – 2x + 1, so that the result is exactly divisible by (x – 3)?
