Advertisements
Advertisements
Question
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.

Advertisements
Solution
The graph does not intersects at x-axis.
∴ The no of zeroes of p(x) is 0.
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 polynomial f(x) = x2 – 2x – 8 and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial f(x) = x2 + 3x – 10 and verify the relation between its zeroes and coefficients.
Obtain all other zeroes of (x4 + 4x3 – 2x2 – 20x – 15) if two of its zeroes are `sqrt(5)` and `-sqrt(5)`.
If one zero of the polynomial x2 – 4x + 1 is `(2 + sqrt(3))`, write the other zero.
Find α, β are the zeros of polynomial α + β = 6 and αβ = 4 then write the polynomial.
If –4 is a zero of the polynomial x2 – x – (2k + 2) is –4, then find the value of k.
If the sum of the zeros of the quadratic polynomial kx2 – 3x + 5 is 1, write the value of k.
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt(3)x^2 + 5x - 2sqrt(3)`.
If α and β are the zeros of the polynomial f(x) = 6x2 + x – 2, find the value of `(α/β + α/β)`.
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.
Find the value of k such that the polynomial x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.
10. The zeroes of the quadratic polynomial x² + kx + k, k? 0.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x).

The number of zeroes of f(x) is ______.
