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3. Polynomials
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Q1 of 84 Page 46

Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

(2m2 – 3m + 10) ÷ (m – 5)

The linear division method is as follows:



Representing the polynomial in first polynomial in coefficient form:


⟹ 2.m2 – 3.m + 10


⟹ (2, – 3, 10)



Bring the first term as it is. Then multiply 5 with the value written in the bottom result area. Continue this until done.


Quotient = 2m + 7


Remainder = 45


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5

Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor × Quotient + Remainder’.

i. x3 – 64; x – 4


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6

Write down the information in the form of algebraic expression and simplify.

There is a rectangular farm with length (2a2 + 3b2) meter and breadth (a2 + b2) meter. The farmer used a square shaped plot of the farm to build a house. The side of the plot was (a2 - b2) meter. What is the area of the remaining part of the farm?

1

Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

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Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

(y3 – 216) ÷ (y – 6)

Questions · 84
3. Polynomials
1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 1 1 1 1 1 1 1 2 3 4 1 2 2 2 3 4 5 5 5 6 7 8 9 9 10 11 12 13 13 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 6 7 7 8 8 9 10 11 12 13 14 15
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