Dividing Polynomials; Remainder and Factor Theorems In this section we will learn how to divide polynomials, an important tool needed in factoring them
Of the things The Factor Theorem tells us, the most pragmatic is that we had better find a more efficient way to divide polynomials by quantities of the form x
24 fév 2015 · List all +/- factors of (numbers that divide evenly into) the constant term (b) and leading coefficient (a) 2 Use the Factor Theorem to find
2 Divide a polynomial by a linear or quadratic factor 2 3 3 Apply the remainder theorem 2 3 4 Apply the factor theorem #uniofsurrey 4
b) Verify your answer to part a) by completing the division using long division or synthetic division Factor Theorem: ? is a factor of a polynomial
Long division scores no marks in part (a) The factor theorem is required However, the first two marks in (b) can be earned from division
Polynomial Division (Long and Synthetic): Divide 1st term into the 1st term EXAMPLE: Use synthetic division and the Factor Theorem to
The Remainder Theorem follows immediately from the definition of polynomial division: to divide f(x) by g(x) means precisely to write
101397_6C2Algebra_RemainderandFactorTheorem.pdf C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 1
1. xx x x xx (2) xx x(5) (Total7marks) 2. xx ax bx ab x x xx ab(6) x (3) (Total9marks) 3. xxxk k k(1) xx k (2) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 2
x (3) (Total 6 marks) 4. I baxxxx Z K H U H D D Q G E D U H F R Q V W D Q W V 7 K H U H P D L Q G H U Z K H Q I xxx x a (5) xx b (3) (Total 8 marks) 5. xx x x xx (2) x (4) (Total 6 marks) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 3
6. x x x x x (3) x x x (4) (Total 7 marks) 7. xx x x xx (2) x x x (4) (Total 6 marks) 8. xx x x x x (2) x (4) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 4
x x x (1) (Total 7 marks) 9. xx x x xx+ (2) x+x (2) x (4) (Total 8 marks) 10. xx x ax b xx xx ab (Total 7 marks) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 5
11. xx x xcc c (2) x (4) xx (2) (Total 8 marks) 12. xx x xxъ x x (2) x (2) x (1) (Total 5 marks) 13. xx x x (2) x x x (4) (Total 6 marks) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 6
14. xx x x xx (2) xxx bxc bc (3) x (3) (Total 8 marks) 15. xax ax x a xx a (3) xx (2) (Total 5 marks) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 7
16. xx x axbab xx xx ab (6) xx (2) (Total 8 marks) 17. xx px xqpq xx pq (3) xpxp p p q (3) p q (5) x (2) (Total 13 marks) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 8
18. xx px p xx (1) xx p (2) x (4) (Total 7 marks) 19. xx x xx (2) x (4) (Total 6 marks) 20. xx px qxpq xxxx pq (6) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 9
x (3) (Total 9 marks) 21.
R SC B AOy x 7KHGLDJUDPDERYHVKRZVSDUWRIWKHFXUYH Cyx xx x x xOAB x (3) xAB (1) CA (3) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 10
RCOASC
AB RS (7) (Total 14 marks) 22.
xpx x xq xxx x p (4) qp (1) (Total 5 marks) 23.
nn pn n p nnp (2) nnnqn rqr (3) nn (2) (Total 7 marks) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 11
24.
xax x bx ab xxxx ab (Total 5 marks) 25.
xx x px p xx p (2) xx (2) (Total 4 marks) C2 Algebra: Remainder & Factor Theorems PhysicsAndMathsTutor.com
Edexcel Internal Review 12
1. IRUI 0 I $ Note $ O W H U Q D W L Y H O R Q J G L Y L V L R Q ' L Y L G H E \ xx axbab x x