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). - Mathematics

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 four point.

∴ The no of zeroes of p(x) is four.

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


Find all the zeroes of polynomial `(2x^4 – 11x^3 + 7x^2 + 13x – 7)`, it being given that two of its zeroes are `(3 + sqrt2) and (3 – sqrt2)`. 

 


If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero. 


Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)` 

 


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 the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k.. 

 

 


Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial. 


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 the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.


If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.


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


A polynomial of degree n has ______.


Consider the following statements.

  1. x – 2 is a factor of x3 – 3x² + 4x – 4.
  2. x + 1 is a factor of 2x3 + 4x + 6.
  3. x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.

In these statements


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 ______.


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×