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

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 1.6 | 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.


Find the zeros of the polynomial `f(x) = x^2 + 7x + 12` and verify the relation between its zeroes and coefficients.


If f(x) =`x^3-3x+5x-3` is divided by g(x)=`x^2-2` 

 


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

 


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

 


Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial. 


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 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. 


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 one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes 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 ______.


The number of polynomials having zeroes as -2 and 5 is ______.


If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.


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


The given linear polynomial y = f(x) has


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×