cbse-class-10-maths-solutions-polynomials-ex-23-step-by-step-division-algorithm-for-polynomials

# Interactive video lesson plan for: CBSE Class 10 Maths solutions Polynomials Ex 2.3 | Step-by-step Division Algorithm for Polynomials

#### Activity overview:

CBSE Class 10 Maths solutions Polynomials Ex 2.3 | Step-by-step Division Algorithm for Polynomials

http://www.learncbse.in/ncert-class-10-math-solutions/
http://www.learncbse.in/polynomials-cbse-class-10-maths-chapter-2-extra-questions/
http://www.learncbse.in/rd-sharma-class-10-solutions-chapter-2-polynomials/

00:02 Q1. Divide the polynomial p ( x ) by the polynomial g ( x) and find the quotient and remainder in each of the following :
00:20 (i) Divide the polynomial p(x) = x^3 – 3x^2 + 5 x – 3 by the polynomial g(x) = x^2– 2.
00:34 Division Algorithm for polynomials
01:00 Step 1 To obtain the first term of the quotient, divide the highest degree term of the dividend by the highest degree term of the divisor .Then carry out the division process. What remains is our new dividend
01:14 Step 2 : Now, to obtain the second term of the quotient, divide the highest degree term of the new dividend by the highest degree term of the divisor.Again carry out the division process.
01:49 Step 3 : Carry the division process untill the degree of the remainder is less than the degree of the divisor
03:46 (ii)Divide the polynomial p(x) = x^4 – 3x^2 + 4x + 5 by the polynomial g(x)= x^2+1-x
04:12 Arrange the terms in Standard Form.
08:40 (iii)Divide the polynomial p(x)= x^4 –5x +6 by the polynomial g(x)=2–x^2

11:50 Q2. Check whether the first polynomial is a factor of the second polynomial by dividing the
second polynomial by the first polynomial:
12:23 (i) Is the polynomial t^2 – 3 is a factor of the polynomial 2t^4 + 3 t^3 – 2 t^2 – 9 t – 12.
12:26 Procedure for Division Algorithm for polynomials
12:53 Step 1 To obtain the first term of the quotient, divide the highest degree term of the dividend by the highest degree term of the divisor .Then carry out the division process. What remains is our new dividend
13:23 Step 2 : Now, to obtain the second term of the quotient, divide the highest degree term of the new dividend by the highest degree term of the divisor.Again carry out the division process.
13:35 Step 3 : Carry the division process untill the degree of the remainder is less than the degree of the divisor

16:38 (ii) Is the polynomial x^2 + 3 x + 1 is a factor of the polynomial 3 x^4 + 5 x^3 – 7 x^2 + 2 x + 2
21:37 (iii) Is the polynomial x^3 – 3 x + 1 is a factor of the polynomial x^5 – 4 x^3 + x^2 + 3 x + 1x

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learncbse.in
CBSE solutions for class 10 maths Chapter 2 Polynomials Exercise 1.4
CBSE class 10 maths NCERT Solutions Chapter 2 Polynomials Exercise 1.2 | Division Algorithm for polynomials
CBSE class 10 maths NCERT Solutions Chapter 2 Polynomials
Solutions for CBSE class 10 Maths Polynomials
NCERT solutions for class 10 maths Polynomials
NCERT solutions for CBSE class 10 maths Polynomials
CBSE class 10 maths Solutions Polynomials Exercise 2.3
Common core Math Polnomials
ICSE Class 10 Maths Polynomials

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