Advertisements
Advertisements
प्रश्न
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
पर्याय
10
- 10
5
- 5
उत्तर
If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is - 10.
Explanation:
Let f(x) = x2 + 3x + k
f(2) = (2)2 + 3(2) + k = 0
4 + 6 + k = 0
k = - 10
संबंधित प्रश्न
Find all the zeroes of `(2x^4 – 3x^3 – 5x2 + 9x – 3)`, it is being given that two of its zeroes are `sqrt3 and –sqrt3`.
Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial.
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.
Find the value of k such that the polynomial x2 − (k + 6)x + 2(2k −1) has sum of its zeros equal to half of their product.
If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
Consider the following statements.
- x – 2 is a factor of x3 – 3x² + 4x – 4.
- x + 1 is a factor of 2x3 + 4x + 6.
- x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
The zeroes of the quadratic polynomial 16x2 – 9 are ______.