Write an R above the last column This column will form your remainder The polynomial on top of the box with its remainder is your final answer
The number in the box is the remainder Synthetic division is our tool of choice for dividing polynomials by divisors of the form x - c It is important to note
In this section we will learn how to divide polynomials, an important tool needed in factoring them This will begin our algebraic study of polynomials
13 nov 2013 · You can use the factor theorem to solve cubic and higher order Polynomial division by inspection, Polynomial division – box method
Based on cost calculations, the volume, V, in cubic centimetres, of each box can be modelled by the polynomial V(x) = x3 + 7x2 + 14x + 8, where x is a positive
Algorithm (really, it's a theorem) If the leading coefficient of r x( ) is negative, then we factor a ?1 out of it Answer:
be able to use the remainder theorem One method of solution is to draw the graph of the cubic function topped box with volume 64 cm3 Find the size
(a) Use the factor theorem to show that (x + 4) is a factor of f (x) (2) (b) Factorise f (x) completely 'Grid' method 3 3 –5 –58
(1-2) Divide using polynomial long division or the box method 1) (8x2 + 34x – 1) ÷ (4x – 1) 2) (7x3 + 11x2 + 7x + 5) ÷ (x2 + 1)
101368_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