Advertisements
Advertisements
प्रश्न
The number of polynomials having zeroes – 3 and 4 is ______.
विकल्प
1
2
3
more than 3
उत्तर
The number of polynomials having zeroes – 3 and 4 is more than 3.
Explanation:
The number of polynomials having zeroes – 3 and 4 are infinite or more than 3.
Required polynomials = (x + 3) (x – 4)
= x2 – x – 12
Now, we can check that any other quadratic polynomial that fits these conditions will be of the form k(x2 – x – 12).
Where k is real.
APPEARS IN
संबंधित प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in the following.
If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k.
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 = ?
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
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
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
The number of quadratic polynomials having zeroes –5 and –3 is ______.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
