X 2 2 x 24 x 2 8 x 16 6 x 24 x 2 12 x 36 8 more

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Unformatted text preview: )( ) 3 NSS Mathematics in Action Worksheets 4B 7. x 2 − 2 x − 24 x 2 + 8 x + 16 ÷ − 6 x − 24 x 2 − 12 x + 36 8 More about Polynomials (II) 8. Solution 2x 2 − 2 y 2 x 2 − xy − 2 y 2 ÷2 − 33 x + 11 y 3 x − 7 xy + 2 y 2 Solution Simplify the following expressions. (9 – 12) 9. x2 − x 4 + 2 x + 3x x + 3 10. Solution x2 − x 4 + 2 x + 3x x + 3 x( ) = + ( )( )( = 11. x+7 2x − 6 −2 2 49 − x x + 4 x − 21 Solution 4 ) 3 1 + (2 x + 3 y )( x − 2 y ) ( 2 x + 3 y )(3 x − y ) 12. Solution 2x 5 −2 x − 7 x − 18 x − 6 x − 27 2 Solution 4 NSS Mathematics in Action Worksheets 4B 8 More about Polynomials (II) Worksheet 8.1 (Enhanced) H.C.F. and L.C.M. of Polynomials Non-Foundation (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. (2 x + 3 y )( x − 5 y ) and − (5 y + x)(5 y − x) 2. Solution 3. 5 x − 15 and 7 x 3 − 21x 2 Solution 4. Solution 5. 9 x 2 − 12 x + 4 and 18 x 2 − 8 9 x 3 y ( x + y ) and 15 x 2 y 2 ( x + y ) 2 3 x 2 + x − 14 and 9 x 2 + 21x Solution 6. Solution − 6 + 24 x 2 and 8 x 2 − 20 x − 12 Solution 5 NSS Mathematics in Action Worksheets 4B 7. 8 More about Polynomials (II) 18 x 2 − 15 xy + 3 y 2 and 16 x 2 − 4 y 2 Solution 8. 8 x 2 − 32 y 2 , x 2 − 4 xy + 4 y 2 and 6 x 2 + 6 xy − 36 y 2 Solution 9. Let f ( x ) = 2 x 3 − 5 x 2 − 17 x + 20 and g ( x) = 2 x 2 + 11x + 15 . (a) (i) Show that x – 1 is a factor of f(x). (ii) Hence, factorize f(x) completely. (b) Find the H.C.F. and L.C.M. of f(x) and g(x). Solution (a) (i) (ii) (b) 6 NSS Mathematics in Action Worksheets 4B 8 More about Polynomials (II) Worksheet 8.2 (Enhanced) Non-Foundation Rational Functions and their Manipulations (Refer to Book 4B Ch8 p. 8.12 – 8.20) Name: _________________________ Class: __________ Simplify the following expressions. (1 – 7) 1. 2 x − 2 y 3 x 2 + 3 xy + 3 y 2 × x3 − y 3 2 xy 2. Solution 3. x −1 8x 3 + 1 1 + 4x + 4x 2 ×2 ÷ 4x 2 − 2x + 1 x − 1 x2 + x Solution 4. Solution 5. 4x x2 − y2 −2 9 x − 6 y 3x − 5 xy + 2 y 2 3− x 3x + x 2 − 4 x...
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This document was uploaded on 03/03/2014.

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