Ex.2.1 Q1 Polynomials Solution - NCERT Maths Class 10

Go back to  'Ex.2.1'

Question

The graphs of \(y{ }={ }p\left( x \right)\) are given in the figure below, for some polynomials \(p\left( x \right)\). Find the number of zeroes of \(p\left( x \right)\) in each case.

 Video Solution
Polynomials
Ex 2.1 | Question 1

Text Solution

What is known?

The graphs of \(y{ }={ }p\left( x \right)\) are given in the above figure for some polynomials \(p\left( x \right)\).

What is unknown?

The number of zeroes of \(p\left( x \right)\) in each case.

Reasoning:

You can reach the solution easily by understanding the statement of the question. As The graphs of \(y{ }={ }p\left( x \right)\) are given and you have to find the number of zeroes of \(p\left( x \right)\) in each case.

To find this look at the graphs and visually find how many points it cuts the \(x\)-axis. The number of points the graph cuts or touches the \(x\)-axis. The number of points it cut or touches the \(x\)-axis are the zeroes of the polynomial \(p\left( x \right)\).

Steps:

(i) The number of zeroes is \(0\) as the graph doesn’t cuts the \(x\)-axis at any point.

(ii) The number of zeroes is \(1\) as the graph cuts the \(x\)-axis at only one point.

(iii) The number of zeroes is \(3\) as the graph cuts the \(x\)-axis at \(3\) points.

(iv) The number of zeroes is \(2\) as the graph cuts the \(x\)-axis at \(2\) points.

(v) The number of zeroes is \(4\) as the graph cuts the \(x\)-axis at \(4\) points.

(vi) The number of zeroes is \(3\) as the graph cuts the \(x\)-axis at  \(3 \) points.

  
Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school