English

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
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).

One Line Answer
Advertisements

Solution

The graph intersects x-axis at three point.

∴ The no of zeroes of p(x) is three.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Polynomials - EXERCISE 2.1 [Page 28]

APPEARS IN

NCERT Mathematics [English] Class 10
Chapter 2 Polynomials
EXERCISE 2.1 | Q 1. (iii) | Page 28

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), in the following.


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) = 5x^2 ˗ 4 ˗ 8x` and verify the relationship between the zeroes and coefficients of the given polynomial.


Find the zeroes of the polynomial `x^2 + x – p(p + 1) ` 

 


If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.


If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.


If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.   


Find the zeroes of the quadratic polynomial `f(x) = 4sqrt3x^2 + 5x – 2sqrt3`.


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 = ? 


If the zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b. 


If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.


The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.


A quadratic polynomial, whose zeores are -4 and -5, is ______.


If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.


A polynomial of degree n has ______.


If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.


The number of quadratic polynomials having zeroes –5 and –3 is ______.


The graph of y = f(x) is shown in the figure for some polynomial f(x).


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×