The number of zeroes of the polynomial x³ + x – 3 – 3x² is
A thorough understanding of Polynomials is crucial for excelling in algebra. This document provides NCERT Solutions for Class 9 Mathematics Chapter 2: Polynomials, featuring MCQ-based questions from the exercise. It covers essential topics such as types of polynomials, degrees, zeros and algebraic identities. These multiple-choice questions are designed to improve logical reasoning and problem-solving skills. Structured according to the NCERT syllabus, this resource is perfect for exam preparation, quick revision and self-assessment. Practicing these MCQs will help students enhance accuracy, boost confidence and strengthen their conceptual understanding. Consistent practice ensures better problem-solving abilities, making it easier to apply polynomial concepts in both exams and real-life scenarios.
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The number of zeroes ( or roots) of a polynomial is determined by its degree. The degree of a polynomial is the highest exponent of the variable.
Given Polynomial: x³ + x – 3 – 3x²
Step 1: Arrange in Standard Form
Rearrange the terms in descending order of powers of x:
x³ – 3x² + x – 3
Step 2: Identify the Degree
The highest power of x is 3.
A polynomial of degree n can have at most n zeroes.
Conclusion: Since the given polynomial is of degree 3, it has three zeroes ( real or complex). Thus the correct answer is (d) 3.
This question related to Chapter 2 Mathematics Class 9th NCERT. From the Chapter 2 Polynomials. Give answer according to your understanding.
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