Advertisements
Advertisements
प्रश्न
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
पर्याय
True
False
Advertisements
उत्तर
This statement is True.
Explanation:
If the graph of a polynomial intersects the x-axis at exactly two points.
Then it may or may not be a quadratic polynomial.
As, a polynomial of degree more than 2 is possible which intersects the x-axis at exactly two points when it has two real roots and other imaginary roots.
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.
Find the zeroes of the polynomial `f(x) = x^2 ˗ 2x ˗ 8` and verify the relation between its zeroes and coefficients
One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the polynomial.
Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial.
If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k.
If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then 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.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
The given linear polynomial y = f(x) has
If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
