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 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. (vi) | 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).


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


Obtain all other zeroes of `(x^4 + 4x^3 – 2x^2 – 20x – 15)` if two of its zeroes are `sqrt5 and –sqrt5.` 


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


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


Find the value of k such that the polynomial  x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.


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


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


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


The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.


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


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 ______.


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 ______.


The given linear polynomial y = f(x) has


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×