Class 10 Exam  >  Class 10 Notes  >  EXERCISE 3 - Polynomials, Class 10, Maths

EXERCISE 3 - Polynomials, Class 10, Maths PDF Download

EXERCISE 3

1. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :

polynomials 16
polynomials 17
polynomials 18

2. Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:

polynomials 19
polynomials 20
polynomials 21
polynomials 22
polynomials 23
 

The document EXERCISE 3 - Polynomials, Class 10, Maths is a part of Class 10 category.
All you need of Class 10 at this link: Class 10

Top Courses for Class 10

FAQs on EXERCISE 3 - Polynomials, Class 10, Maths

1. What are polynomials?
Ans. Polynomials are algebraic expressions consisting of variables and coefficients, which are combined using the four basic mathematical operations of addition, subtraction, multiplication, and division.
2. What is the degree of a polynomial?
Ans. The degree of a polynomial is the highest power of the variable present in the polynomial. For example, the degree of the polynomial 3x^2 + 5x – 2 is 2, as the highest power of x is 2.
3. How do you add or subtract polynomials?
Ans. To add or subtract polynomials, simply combine like terms. Like terms are those that have the same variable and the same power. For example, to add the polynomials 3x^2 + 5x - 2 and 2x^2 - 3x + 4, you first group the like terms: (3x^2 + 2x^2) + (5x - 3x) + (-2 + 4), which simplifies to 5x^2 + 2x + 2.
4. What is the factor theorem?
Ans. The factor theorem states that if a polynomial P(x) is divided by (x – a), then the remainder will be zero if and only if (x – a) is a factor of P(x). In other words, if P(a) = 0, then (x – a) is a factor of P(x).
5. How do you find the roots of a polynomial?
Ans. To find the roots of a polynomial, set the polynomial equal to zero and solve for the variable. The solutions to the equation are the roots of the polynomial. For example, to find the roots of the polynomial x^2 – 4, you would set the polynomial equal to zero: x^2 – 4 = 0. Solving for x, you get x = ±2, so the roots of the polynomial are x = 2 and x = -2.
Download as PDF
Explore Courses for Class 10 exam

Top Courses for Class 10

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Objective type Questions

,

Summary

,

Class 10

,

Sample Paper

,

Maths

,

Free

,

Viva Questions

,

Maths

,

Exam

,

practice quizzes

,

mock tests for examination

,

ppt

,

past year papers

,

Maths

,

Important questions

,

video lectures

,

Previous Year Questions with Solutions

,

EXERCISE 3 - Polynomials

,

Class 10

,

shortcuts and tricks

,

MCQs

,

EXERCISE 3 - Polynomials

,

Semester Notes

,

pdf

,

Class 10

,

study material

,

Extra Questions

,

EXERCISE 3 - Polynomials

;