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Exam (elaborations)

POLYNOMIAL EXAM QUESTIONS
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  • POLYNOMIA

Created by T. Madas Question 3 (**) The polynomial 3 3 x − 2 x 2 − x 12 8 + is denoted by ( ) a) Use the factor theorem to show that ( b) Factorize ( ) f x fully. f x . 2 ) x + is a factor of ( ) f x . f x = C2A , ( ) ( )( )( ) x − x ...

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  • August 1, 2024
  • 55
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • polynomial exam questions
  • question 3 the polynomial 3 3 x 2

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  • POLYNOMIA
  • POLYNOMIA

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Created by T. Madas Created by T. Madas POLYNOMIAL EXAM QUESTIONS Created by T. Madas Created by T. Madas Question 1 (**) Multiply out and simplify ( )( )2 22 3 1 2x x x x− − + − , writing the answer in ascending powers of x. 2 3 43 7 3 5 2 x x x x − − + + − Question 2 (**) ( )3 23 6 40 f x x x x ≡ − + − . a) Show that ( )5x− is not a factor of ()f x . b) Find a linear factor of ()f x . MP1-N , ( 4)x− Created by T. Madas Created by T. Madas Question 3 (**) The polynomial 3 23 2 12 8x x x− − + is denoted by ()f x . a) Use the factor theorem to show that ( )2x+ is a factor of ()f x . b) Factorize ()f x fully. C2A , ( ) ( )( )( ) 3 2 2 2 f x x x x = − − + Question 4 (**) The polynomial 3 24 7x x x k+ + + , where k is a constant, is denoted by ()f x . a) Given that ( )2x+ is a factor of ()f x , show that 6k=. b) Express ()f x as a product of a linear factor and a quadratic f actor. C2B , ( ) ( ) ( )22 2 3 f x x x x = + + + Created by T. Madas Created by T. Madas Question 5 (**) a) Use the factor theorem to show that ( )3x+ is a factor of 3 25 2 24x x x+ − − . b) Factorize 3 25 2 24x x x+ − − fully. ( )( )( )3 2 4x x x+ − + Question 6 (**+) Find the coefficient of 3x in the expansion of ( )( )3 2 3 22 5 2 1 3 2 9 7x x x x x x− + − + − + . 3... 60 ... x+

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