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


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 -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, 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.   


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


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


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


If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.


If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.


If the graph of a polynomial intersects the x-axis at exactly two points, it need not 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 number of polynomials having zeroes – 3 and 4 is ______.


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


The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×