Advertisements
Advertisements
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).
Advertisements
उत्तर
The graph intersects x-axis at two point.
∴ The no of zeroes of p(x) is two.
APPEARS IN
संबंधित प्रश्न
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`.
If one zero of the polynomial x2 – 4x + 1 is `(2 + sqrt(3))`, write the other zero.
If 3 is a zero of the polynomial 2x2 + x + k, find the value of k.
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 `kx^2-3x + 5` is 1 write the value of k..
If α, β are the zeroes of the polynomial f(x) = x2 – 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 some of its zeros equal to half of their product.
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 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 ______.
If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.
If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
Consider the following statements.
- x – 2 is a factor of x3 – 3x² + 4x – 4.
- x + 1 is a factor of 2x3 + 4x + 6.
- x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
The graph of y = f(x) is shown in the figure for some polynomial f(x).
The number of zeroes of f(x) is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
