Advertisements
Advertisements
Question
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
If the graph of a polynomial intersects the x-axis at only one point
Then it cannot be a quadratic polynomial because a quadratic polynomial may touch the x-axis at exactly one point or intersects x-axis at exactly two points or do not touch the x-axis.
APPEARS IN
RELATED QUESTIONS
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).
Find the zeroes of the quadratic polynomial f(x) = x2 + 3x – 10 and verify the relation between its zeroes and coefficients.
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 all the zeroes of polynomial (2x4 – 11x3 + 7x2 + 13x – 7), it being given that two of its zeroes are `(3 + sqrt(2))` and `(3 - sqrt(2))`.
If 3 is a zero of the polynomial 2x2 + x + k, find the value of k.
If one zero of the quadratic polynomial kx2 + 3x + k is 2, then find the value of k.
If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 is 1, then find the value of a.
Write the zeros of the polynomial f(x) = x2 – 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.
If α and β are the zeros of the polynomial f(x) = 6x2 + x – 2, find the value of `(α/β + α/β)`.
A quadratic polynomial, whose zeroes are -3 and 4, is ______.
If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.
The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
The number of quadratic polynomials having zeroes –5 and –3 is ______.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.
