Advertisements
Advertisements
प्रश्न
Which of the following is not the graph of a quadratic polynomial?
पर्याय
उत्तर
Explanation:
For any quadratic polynomial ax2 + bx + c, a ≠ 0
The graph of the corresponding equation y = ax2 + bx + c has one of the two shapes either open upwards like ∪ or open downwards like ∩ depending on whether a > 0 or a < 0. These curves are called parabolas.
So, option (d) cannot be possible.
Also, the curve of a quadratic polynomial crosses the X-axis on at most two points but in option (d) the curve crosses the X-axis on the three points, so it does not represent the quadratic polynomial.
APPEARS IN
संबंधित प्रश्न
If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽+ 𝛼 𝛽.
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.
If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = x^2 – 5x + k` such that 𝛼 - 𝛽 = 1, find the value of k = ?
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.
A polynomial of degree n has ______.
The number of quadratic polynomials having zeroes –5 and –3 is ______.
The number of polynomials having zeroes – 3 and 4 is ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x).
The number of zeroes of f(x) is ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.