Q1 of 62 Page 157

Divide the first polynomial by the second. Explain the steps.

36p2; 6p

The division is as follows:



Here when 6p is multiplied by 6p we get 36p2 as the result.


In division the sign of the product [divisor × quotient] is always inverted to get the final result.


So the sign of product should always be opposite to that of the dividend.


So 36p2 becomes perfectly divisible by 6p and hence the quotient is 6p and remainder is 0.


More from this chapter

All 62 →
1

Complete the following statements by filling in the blanks.

(1) 21 ÷ 7 … ∵ 21 = 7 × 3


(2) 45 ÷ 15 = …. ∵ 45 …… × ……


(3) We continue to carry out division until we get remainder zero or a whole number less than the ………….


(4) Dividend = division × (….) + (….), 0 ≤ remainder < divisor


(5) When we divide 43 by 5, the quotient is ………… and the remainder is ……….


Here, dividend = ………., divisor = ………


∴ 43 = 5 × …… + ……


(6) 2y × ……… = 10y2


(7) 5x × ……… = 15x4


(8) m2 × ……… = 9m4


(9) 3m × ………… = 9m4+

 1

Divide the first polynomial by the second. Explain the steps.

21b; 4

 1

Divide the first polynomial by the second. Explain the steps.

5a3; a3

 1

Divide the first polynomial by the second. Explain the steps.

–30n2; 3n