Advertisements
Advertisements
प्रश्न
Using remainder theorem, find the value of k if on dividing 2x3 + 3x2 – kx + 5 by x – 2, leaves a remainder 7.
Advertisements
उत्तर
Let f(x) = 2x3 + 3x2 – kx + 5
Using remainder theorem,
f(2) = 7
∴ 2(2)3 + 3(2)2 – k(2) + 5 = 7
`\implies` 2(8) + 3(4) – k(2) + 5 = 7
`\implies` 16 + 12 – 2k + 5 = 7
`\implies` 2k = 16 + 12 + 5 – 7
`\implies` 2k = 26
`\implies` k = 13
संबंधित प्रश्न
Using the remainder theorem, find the remainders obtained when x3 + (kx + 8 )x + k is divided by x + 1 and x − 2.
Hence, find k if the sum of the two remainders is 1.
A polynomial f(x) when divided by (x - 1) leaves a remainder 3 and when divided by (x - 2) leaves a remainder of 1. Show that when its divided by (x - i)(x - 2), the remainder is (-2x + 5).
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + 2
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1
If on dividing 4x2 – 3kx + 5 by x + 2, the remainder is – 3 then the value of k is
If x51 + 51 is divided by x + 1, the remainder is ______.
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
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = 4x3 – 12x2 + 14x – 3, g(x) = 2x – 1
Without actual division, prove that 2x4 – 5x3 + 2x2 – x + 2 is divisible by x2 – 3x + 2. [Hint: Factorise x2 – 3x + 2]
