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).


The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).


Obtain all other zeroes of (x4 + 4x3 – 2x2 – 20x – 15) if two of its zeroes are `sqrt(5)` and `-sqrt(5)`.


If one zero of the polynomial x2 – 4x + 1 is `(2 + sqrt(3))`, write the other zero.


If –4 is a zero of the polynomial x2 – x – (2k + 2) is –4, then find the value of k.


If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 is 1, then find the value of a.


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


A quadratic polynomial, whose zeroes are -3 and 4, is ______.


10. The zeroes of the quadratic polynomial x² + kx + k, k? 0.


If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.


If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.


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.


The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.


If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.


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


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


The zeroes of the polynomial 3x2 + 11x – 4 are ______.


The zeroes of the quadratic polynomial 16x2 – 9 are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×