NCERT Solutions for Class 8 Maths Chapter 4

           Multiplication and Division of Algebraic expressions

Points to remember

• While multiplying variable, exponential law is followed.
• To divide a polynomial it is convenient to divide each term of the polynomial by the monomial.
• (a + b) (c + d) = a(c + d) + b(c + d)

                              = ac + ad + bc + bd

• The process of division is continued till the exponent of the divisor does not become less than the exponent of the remainder for the algebraic expression.

Exercise 4.1

https://youtu.be/-BqfAVbTWmk

    Exercise 4.2

        

https://youtu.be/9nXpjsiaozs

Exercise 4.3

Q.1 Write the given polynomials in the decreasing order of their variables.

  

https://youtu.be/Nfot1hbZtjE

Q.2. Divide and say whether the division are multiple factor of the dividend.

(1). x²-11x+30 by (x-5)

(2). x²+20x+91 by x+7

(3). x²-5x-6 by x-6

(4). x³-5x²-2x+24 by x-4

(5). a²+2ab+b² by a+b

Q.3. Divide and prove that the divisor and the dividend are not multiple fators. write down the quotient and the reminder for the following expressions.

(1). x³ +2x²+ 3x +4  by x-1

(2). -12+3x² -4x+x³  by  x+5

(3). 4x⁴ – 2x³-10x²+13x-6  by  2x+3

(4). 8x³ -6x² +10x+15  by  4x+1

Q. 4 Divide and verify :

          Dividend = Divisor * Quotient + remainder

(1). m²-3m+7  by  m-2

(2). a³ – 2a² +a +2    by a+2

(3). 9x³ + 15x² - 5x + 3  by  3x+1

(4). 2x³ + 3x² + 7x + 15   by x² +4

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