Advertisements
Advertisements
Question
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
Options
True
False
Advertisements
Solution
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
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).

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 zeros of the polynomial f(x) = x2 + 7x + 12 and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial f(x) = 5x2 – 4 – 8x and verify the relationship between the zeroes and coefficients of the given polynomial.
If one zero of the polynomial x2 – 4x + 1 is `(2 + sqrt(3))`, write the other zero.
Find the zeros of the polynomial x2 – 3x – m(m + 3).
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.
If the zeroes of the polynomial f(x) = x3 – 3x2 + x + 1 are (a – b), a and (a + b), find the values of a and b.
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.
The number of polynomials having zeroes as -2 and 5 is ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.
Which of the following is not the graph of 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 zeroes of the quadratic polynomial 16x2 – 9 are ______.
