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 1.3 | 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).


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)`. 

 


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

 


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


If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k. 

 


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


If ∝ and β are the zeros of the polynomial f(x) = `6x^2 + x - 2 `find the value of `(∝/β+∝/β) ` 

 


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 ______.


Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is ______.


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


If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.


If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.


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.


Which of the following is not the graph of a quadratic polynomial?


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


If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×