Advertisements
Advertisements
प्रश्न
4x2 – kx + 5 leaves a remainder 2 when divided by x – 1. The value of k is ______.
पर्याय
– 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
Use Remainder theorem to factorize the following polynomial:
`2x^3 + 3x^2 - 9x - 10`
Using the Remainder Theorem, factorise each of the following completely.
3x3 + 2x2 − 19x + 6
Using the Remainder Theorem, factorise the following completely:
4x3 + 7x2 – 36x – 63
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.
If the polynomial y3 − 5y2 + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.
What number should be subtracted from x2 + x + 1 so that the resulting polynomial is exactly divisible by (x-2) ?
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 when 2x3 – 3x2 + 4x + 7 is divided by x + 3
Find the remainder when 3x3 – 4x2 + 7x – 5 is divided by (x + 3)
If x25 + x24 is divided by (x + 1), the result is ______.
