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).

Advertisements
Solution
The graph intersects x-axis at two point.
∴ The no of zeroes of p(x) is two.
APPEARS IN
RELATED QUESTIONS
Find the zeroes of the polynomial `f(x) = x^2 ˗ 2x ˗ 8` and verify the relation between its zeroes and coefficients
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 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 the zeroes of the polynomial `x^2 + x – p(p + 1) `
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).
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 = ?
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.
A quadratic polynomial, whose zeroes are -3 and 4, is ______.
The number of polynomials having zeroes as -2 and 5 is ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
A polynomial of degree n has ______.
If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.

If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
