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4B08_WS_01e - NSS Mathematics in Action Worksheets 4B 8...

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NSS Mathematics in Action Worksheets 4B 8 More about Polynomials (II) Worksheet 8.1 (Basic) H.C.F. and L.C.M. of Polynomials (Refer to Book 4B Ch8 p. 8.6 – 8.11) Name: _________________________ Class: __________ Find the H.C.F. and L.C.M. of the polynomials in each of the following. (1 – 5) 1. b a 3 and 2 5 b a 2. c b a 2 3 and 3 4 2 c b a Solution Solution 2 ) ( 2 5 ) ( 3 b a b a b a b a × = × = ) ( H.C.F. ) ( = × = b a ) ( L.C.M. 2 ) ( = × = b a 3. 8 4 12 y x and 3 6 45 y x 4. 7 2 15 yz x and 4 2 24 z y Solution Solution ) ( ) ( ) ( ) ( 45 3 2 12 3 6 ) ( ) ( ) ( 8 4 × × × = × × × = y x y x y x H.C.F. = L.C.M. = 5. 5 3 9 c ab , 2 4 30 c b and 4 3 45 c a Solution 1 Non-Foundation
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NSS Mathematics in Action Worksheets 4B 8 More about Polynomials (II) Find the H.C.F. and L.C.M. of the polynomials in each of the following. (6 – 8) 6. ) 2 ( 3 2 - b a and 3 ) 2 ( 9 - b 7. ) ( ) ( 2 3 b a b a + - and ) 2 ( ) ( 2 b a b a + - Solution Solution 8. ) 2 )( ( 4 2 y x y x x - + and 2 3 ) 2 ( ) ( 16 y x y x - + Solution Find the H.C.F. and L.C.M. of the polynomials in each of the following. (9 – 11) 9. 4 2 + x and x x 2 2 + 10. 9 2 - x and 9 6 2 + - x x Solution Solution ) ( 2 4 2 = + x ) ( 2 2 x x x = + H.C.F. = L.C.M. = 11. 6 12 6 2 + + x x and 6 2 4 2 - - x x Solution 2
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NSS Mathematics in Action Worksheets 4B 8 More about Polynomials (II) Worksheet 8.2 (Basic) Rational Functions and their Manipulations (Refer to Book 4B Ch8 p. 8.12 – 8.20) Name: _________________________ Class: __________ Simplify the following rational functions. (1 – 4) 1. 30 6 25 2 + - x x 2. 5 6 3 6 3 2 2 + + + + x x x x Solution Solution = - = + - ) ( 6 ) ( 30 6 25 2 2 2 x x x 3. 2 2 2 3 2 y xy x y xy - - + 4. 2 2 2 2 12 3 4 4 y x y xy x - + - Solution Solution Simplify the following expressions. (5 – 8) 5. 16 21 3 56 8 8 2 2 - + × + - x x x x 6. 3 2 12 8 2 2 1 2 2 - - - × - - x x x x x Solution Solution = × = - + × + - ) )( ( ) ( 3 ) )( ( ) ( 2 16 21 3 56 8 8 2 2 x x x x 3 Non-Foundation
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NSS Mathematics in Action Worksheets 4B 8 More about Polynomials (II) 7. 24 6 16 8 36 12 24 2 2 2 2 - - + + ÷ + - - - x x x x x x x 8. 2 2 2 2 2 2 2 7 3 2 11 33 2 2 y xy x y xy x y x y x + - - - ÷ + - - Solution Solution Simplify the following expressions. (9 – 12) 9. 3 4 3 2 2 + + + - x x x x x 10. 21 4 6 2 49 7 2 2 - + - - - + x x x x x Solution Solution = + = + + + - ) ( 4 ) )( ( ) ( 3 4 3 2 2 x x x x x x 11. ) 3 )( 3 2 ( 1 ) 2 )( 3 2 ( 3 y x y x y x y x - + + - + 12. 27 6 5 18 7 2 2 2 - - - - - x x x x x Solution Solution 4
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NSS Mathematics in Action Worksheets 4B 8 More about Polynomials (II) Worksheet 8.1 (Enhanced) H.C.F. and L.C.M. of Polynomials (Refer to Book 4B Ch8 p. 8.6 – 8.11) Name: _________________________ Class: __________ Find the H.C.F. and L.C.M. of the polynomials in each of the following. (1 – 8) 1.
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