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
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 – 12x + 4 is divided by x – 2.
Find without division, the remainder in the following:
8x2 - 2x + 1 is divided by (2x+ 1)
What number should be added to polynomial f(x)= 12x3 + 16x2 - 5x - 8 so that the resulting polynomial is exactly divisible by (2x - 1) ?
The polynomial f(x) = ax4 + x3 + bx2 - 4x + c has (x + 1), (x-2) and (2x - 1) as its factors. Find the values of a,b,c, and remaining factor.
Find ‘a’ if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leaves the same remainder when divided by x + 3.
Given f(x) = ax2 + bx + 2 and g(x) = bx2 + ax + 1. If x – 2 is a factor of f(x) but leaves the remainder – 15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expression. f(x) + g(x) + 4x2 + 7x.
Find the remainder when 3x3 – 4x2 + 7x – 5 is divided by (x + 3)
By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: x4 + 1; x – 1
If the polynomials az3 + 4z2 + 3z – 4 and z3 – 4z + a leave the same remainder when divided by z – 3, find the value of a.
What must be subtracted from the polynomial x3 + x2 – 2x + 1, so that the result is exactly divisible by (x – 3)?
