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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
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• 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:
[PDF] Answers - Corbettmaths
Factor Theorem Corbettmaths Ensure you have: Pencil or pen, a calculator Guidance 1 Read each question carefully before you begin answering it 2
[PDF] Factor Theorem - Corbettmaths
Read each question carefully before you begin answering it 2 Check your answers seem right 3 Always show your workings Revision for this topic
[PDF] Further Maths Revision Info - Blatchington Mill School
Further Maths Revision Notes Complete Revision Notes 1 - This document is more user friendly and doesn't go into so much detail as the second one
[PDF] CorbettEdexcel-Higher-Answers-1to50pdf - Ark Boulton Academy
Read each question carefully before you begin answering it 2 Check your answers seem right 5 Always show www corbettmaths com/contents OR Circle Theorems 64, 65 The Highest Common Factor (HCF) of two numbers is 6
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64763_6Factor_Theorem.pdf Name: Level 2 Further Maths Ensure you have: Pencil or pen, a calculator Guidance1.Read each question carefully before you begin answering it.2.Check your answers seem right.3.Always show your workings Revision for this topic © Corbettmaths 2019Factor Theoremwww.corbettmaths.com/more/further-maths/
1.Use f actor theorem to show that ! is a factor of !(1)2.Use f actor theorem to show that ! is a factor of !(1)3.Use f actor theorem to show that ! is a factor of !(1)(x!1)
x 3 !3x 2 !13x+15 (x!3) x 3 !10x 2 +21x(x+4) x 3 +4x 2 !3x!12
© Corbettmaths 2019
4.Use f actor theorem to show that ! is a factor of !(2)5.!Use the factor theorem to show that ! is a factor of !(2)6.Use t he factor theorem to show that ! is not a factor of !(2)(2x!1)
2x 3 +7x 2 +2x!3f(x)=4x 3 +5x 2 !23x!6 (4x+1)f(x)(x+5) x 3 !12x 2 +47x!35© Corbettmaths 2019
7.(a) U se the factor theorem to show that ! is a factor of !(1)(b) Hence, factorise fully !..........................................(3)(x!1)
x 3 !x 2 !4x+4x 3 !x 2 !4x+4© Corbettmaths 2019
8. (a) Use the factor theorem to show that ! is a factor of !(1)(b) Hence, factorise fully !..........................................(3)(x!2)
x 3 !9x 2 +20x!12x 3 !9x 2 +20x!12© Corbettmaths 2019
9. (a) Use the factor theorem to show that ! is a factor of !(1)(b) Hence, factorise fully !..........................................(4)(x+4)
2x 3 +5x 2 !14x!82x 3 +5x 2 !14x!8© Corbettmaths 2019
10.(a) Use the factor theorem to show that ! is a factor of !(2)(b) Hence, factorise fully !..........................................(3)(2x!3)
2x 3 +x 2 !12x+92x 3 +x 2 !12x+9© Corbettmaths 2019
11.(a) Use the factor theorem to show that ! and ! are factors of !(2) (b) Use the factor theorem to show that ! and ! are also factors of !(2)(c) Hence, simplify fully !..........................................(3)(x!2)(x+5)
x 3 +2x 2 !13x+10 (x!2)(x+5) x 3 +11x 2 +14x!80x 3 +2x 2 !13x+10 x 3 +11x 2 +14x!80© Corbettmaths 2019
12.(a) Show that ! is a factor of !(2)(b) Hence, or otherwise, find all the solutions of !..........................................(4)(x+3)
x 3 +3x 2 !49x!147x 3 +3x 2 !49x!147=0© Corbettmaths 2019
13.Factorise fully !(5)14.! is a factor of !Work out the value of !! ..............................(2)x
3 !6x 2 +11x!6 (x!5) x 3 !x 2 !32x+a aa=© Corbettmaths 2019
14.! is a factor of !Work out the value of !! ..............................(3)15.Given ! is a factor of !Find the value of !! ..............................(4)(x+4)
x 3 +11x 2 +ax!72 aa=(x!1) 3x 3 !15x 2 +ax+a aa=© Corbettmaths 2019
16. ! is a factor of ! (a) Show that !(2)(b) Solve !..........................................(4)(x+a)
x 3 !7x 2 +ax+20a a=2 x 3 !7x 2 +2x+40=0© Corbettmaths 2019
17.Below i s the graph of !Find the coordinates of the points a and b, where the graph of ! crosses the x-axis...........................................(4)y=5x
3 +23x2 !40x+12y=5x 3 +23x
2 !40x+12