A Level Mathematics - MME




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Corbettmaths answers negative scale

The shape is twice the size of the original, scale factor 2; the scale factor is -2 because it is inverted and is on the opposite side of the expansion center Answer: Expansion, scale factor -2, center of expansion (1, 5) Figure X is maped to Y with scale factor -0 5, and expansion center (5, 5)

FACTORISING POLYNOMIALS - Maths Figured Out

(b) Use your answers to (a) to find all the roots of (i) x 3 ? 3x 2 ? 6 x + 8 = 0 (ii) x3 + 8x2 + 12 x ? 9 = 0 (iii) 2 x 3 ? x 2 ? 117 x ? 324 = 0 2 Explain how you know that (a) (x ? 3) is a factor of x 3 ? 2 x 2 + x ? 12 (b) (x + 5) is a factor of 2 x 3 + 6 x 2 ? 23x ? 15 (c) (2 x ? 1) is a factor of

POLYNOMIAL EXAM QUESTIONS - MadAsMaths

(x?1) is a factor of f x( ) when f x( ) is divided by (x+1) the remainder is 8 b) Hence solve the equation f x( ) = 0 C2H , p = ? 2 , q = ? 5 , x = ?1, 2, 3 Question 24 (***) f x x x x( ) ? ? ? +2 7 2 13 2 a) Use the factor theorem to show that (2 1x+) is a factor of f x( ) b) Find the exact solutions of the equation f x

A-Level Maths Question and Answers 2020/2021 - S-cool

Basic Algebra (Answers) Answer outline and marking scheme for question: 1 Give yourself marks for mentioning any of the points below: a) Use the factor theorem f (-2) = -64 + 72 - 6 - 2 = 0, thus (x+2) is a factor f (1/4) = 1/8 + 9/8 + 3/4 - 2 = 0, thus (4x-1) is a factor (2 marks) b) (i) replacing the given equation with its factors:

A Level Mathematics - MME

4 Factorise fully the following polynomials You may need to use the factor theorem: (a) x3 + 2x2 + x [2] (b) x3 26x + 11x 6 [3] (c) x3 4x2 + 5x 2 [3] (d)2x3 + 7x2 + 2x 3 [3] (e) x4 2x2 + 1 [2] 5 Solve the following equations Hint: to save time, use your answers from the previous question: (a) x3 + 2x2 + x = 0 [2] (b) x3 6x2 + 11x 6 = 0

Searches related to corbett maths factor theorem answers filetype:pdf

• Use the Corbett maths videos to recall the facts and skills • Use the corresponding textbook exercises to secure your understanding and develop fluency o Do the workout section to rehearse the basic skills o Do the apply section to improve your reasoning, problem solving and application of skills Dr Frost:

A Level Mathematics - MME 64763_6C1_A_Level_Maths_Polynomial_Questions_AQA_OCR_Edexcel_MEI.pdf Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources.

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A Level

AQA, Edexcel, OCR, MEI

A Level Mathematics

C1 Polynomials

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Total Marks: /87

C1 - Polynomials

MEI, OCR, AQA, Edexcel1.Compute

x3+2x27x2x2by using polynomial division. [2] 2.

Find the remainder of the quotien t

x3+10x2+5x2. [2] 3. The remainder when x3+ 3x2+kx+ 1 is divided byx+ 2 is 1. Findk. [3] 4. F actorisefully the follo wingp olynomials.You may need to use the factor theorem: (a)x3+ 2x2+x.[2] (b)x36x2+ 11x6.[3] (c)x34x2+ 5x2.[3] (d)

2 x3+ 7x2+ 2x3.[3]

(e)x42x2+ 1.[2] 5. Solv ethe follo wingequations. Hint: to save time, use your answers from the previous question: (a)x3+ 2x2+x= 0.[2] (b)x36x2+ 11x6 = 0.[3] (c)

2 x3+ 7x2+ 2x3 = 0.[3]

6. Consider the function f(x) =ax3+bx2+ 27x10, whereaandbare unknown coecients: (a) Y ouare giv enthat f(1) =f(2) = 0. Hence ndaandb. [3] (b) F ullyfactorise f(x).You may need to use polynomial division. [3] (c)

Using y ouransw erto (b), solv ef(x) = 0. [2]

7. Sk etchthe follo wingfu nctions,clearly indicating the p ointsof an yin tersectionswith the axes: (a)y= (x1)(x2)(x3).[2] (b)y=(x1)(x2)(x3)[2] (c)y= (x1)2(x2)[2] (d)y=x(2x3)(x1)[2]

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8.Expand the f ollowingexpressions. Hint: use Pascal's triangle and binomial expansion:

(a) ( x+ 1)4.[2] (b) ( x+ 2)3.[2] (c) (2 x+ 3)4.[2] (d) (2 x+ 1)3(x+ 2).[3] 9.

Ev aluatethe follo wingbinomial co ecients:

(a) 1 0 .[2] (b) 5 1 .[2] (c) 3 2 .[2] (d) 4 3 .[2] (e)

5C3.[2]

(f)

1C0.[2]

(g)

3C2.[2]

(h)

4C3.[2]

(i)

5C5.[2]

10. Find the co ecientof x3in the expansion of (2x+ 3)3. [3] 11. Find the co ecientof x5in the expansion of (3x1)7. [4] 12. Find the co ecientof x4in the expansion of (3x5)6. [4] 13. Find the co ecientof x3in the expansion of (2x)6(x3). [5]

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