Advertisements
Advertisements
प्रश्न
4x2 – kx + 5 leaves a remainder 2 when divided by x – 1. The value of k is ______.
विकल्प
– 6
6
7
– 7
Advertisements
उत्तर
4x2 – kx + 5 leaves a remainder 2 when divided by x – 1. The value of k is 7.
Explanation:
Let f(x) = 4x2 – kx + 5
When f(x) is divided by x – a then remainder = f(a)
Given f(x) is divided by x – 1 leaves a remainder 2
∴ f(1) = 2
`\implies` 4 × 12 – k + 5 = 2
`\implies` 4 – k + 5 = 2
`\implies` 9 – k = 2
`\implies` k = 9 – 2 = 7
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`
When the polynomial x3 + 2x2 – 5ax – 7 is divided by (x – 1), the remainder is A and when the polynomial x3 + ax2 – 12x + 16 is divided by (x + 2), the remainder is B. Find the value of ‘a’ if 2A + B = 0.
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(54m3 + 18m2 − 27m + 5) ; (m − 3)
use the rernainder theorem to find the factors of ( a-b )3 + (b-c )3 + ( c-a)3
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 3x3 + 7x2 – 5x + 1
If (x – 2) is a factor of the expression 2x3 + ax2 + bx – 14 and when the expression is divided by (x – 3), it leaves a remainder 52, find the values of a and b.
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3
If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k = ?
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x3 – 6x2 + 2x – 4, g(x) = `1 - 3/2 x`
For what value of m is x3 – 2mx2 + 16 divisible by x + 2?
