NCERT Solutions for Class 8 Maths Chapter 4
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
Exercise 4.2
Exercise 4.3
Q.1 Write the given polynomials in the decreasing order of their variables.
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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