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FACTORISING – PRACTICE QUESTIONS 1. Factorise fully: (a) 10x + 8 (b) 4x + 6 (c) 15x + 25 (d) 9x – 12 (e) 20x + 70 (f) 33x – 55 (g) 12x – 20 (h) 18x + 30 (i ...

Factorisation Video 117 on www.corbettmaths.com Question 1: Explain why 8x + 3y cannot be factorised. Question 2: James has factorised an expression correctly. His answer is 2(7y − 3). What was the expression that he factorised? Question 3: Alexandra is trying to factorise fully 15y + 30. Rebecca says the answer is 3(5y + 10)

TOPIC- FACTORISATION 1. Factorise the following: i) 2b (3a – c) + 12 ac –b2 ii) 12( 2x - 3y )2 – 16( 3y - 2x ) iii) y2 – y ( 3a – b ) – 3 ab ... Using the above frequency table,answer the following questions: i) How many persons belong to the group 50-55? ii) Write the number of persons belonging to the highest weight group ...

Question 26: The sum of the first n natural numbers is given by the expression n²/2 + n/2. Factorise this expression. Answer 26: Given that the sum of the first n natural number = n²/2 + n/2 = n/2 (n + 1) Question 27: The sum of (x + 5) observations is x⁴ – 625. Find the mean of the. observations. Answer 27: Mean = (x⁴ – 625) / (x + 5)

1 1. Factorise 3x!−4x. 2. Factorise 6x!y−8x"y!.11. 3. Factorise (x−y)x−x+y. 4. Factorise 4x+4y−ax−ay 5. Factorise (a−3)(a+3)−3(a−3). 6. Factorise 2(a−1)−(a−1)!

• Answer all Questions. • Answer the Questions in the spaces provided – there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information • The marks for each Question are shown in brackets – use this as a guide as to how much time to spend on ...

Factoring Practice Key I. Greatest Common Factor 1. 6 2. 5 3. 2 4. 8 5. 7 6. 9 7. 15 8. 24 II. Greatest Common Monomial Factor 1. % & 2.

Please click on the question number you want Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 You can access the solutions from the end of each question . Question 1 Factorise the following expressions completely a. xx2 −5 b. 749 ... factors =− −3, 25 ()() ()( ) 2 75 325 3 325

Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings ...

Elementary Algebra Skill Solving Quadratic Equations by Factoring Solve each equation by factoring. 1) x2 − 9x + 18 = 0 2) x2 + 5x + 4 = 0 3) n2 − 64 = 0 4) b2 + 5b = 0 5) 35n2 + 22n + 3 = 0 6) 15b2 + 4b − 4 = 0 7) 7p2 − 38p − 24 = 0 8) 3x2 + 14x − 49 = 0 9) 3k2 − 18k − 21 = 0 10) 6k2 − 42k + 72 = 0 11) x2 = 11x − 28 12) k2 + 15k = −56

The answer should be 15(y + 2) Question 4 Use of a plus sign in the factorised answer, it should be a minus sign. Question 5 It has not been fully factorised. The answer should be 4x(6x + 5) Question 6 ... Factorisation answers pdf Created Date: 20190119195012Z ...

Equations, expressions and factorization Questions: 1. a) Simplify the expression f x x x 3 12 3 2 3 6 b) Solve the equation f x x 23 if f (x) is as in (a) above c) Solve for x if u f x x 3 2 3 if x is an integer and if f (x) is as in (a) above d) For which values of x will fx21 ? if f (x) is as in (a) above e) Solve for x:

You can prepare with the Factorization Worksheets with Answers and get good marks in the exams. Easily estimate your preparation level with the help of Worksheet on Factorization. ... All the topics and subtopics of factorization questions, answers are given along with detailed explanations. Therefore, without any delay, begin your practice ...

Multiple Choice Questions and Answers: Factoring, Polynomials, and Simplify Rational Expressions . 1. Factor the expression completely. 6x3- 4x2- 16x . A. O B. 2x(3x2- 2x- 8) C. 2x(3x+4)(x- 2) D. 4x(2x+1)(x- 4) 2. If x. 2 – x – 6 = 0, then x is . A. -2 or 3 B. -1 or 6 C. 1 or -6 D. 2 or -3 . 3. (5a+ 6) 2 = A. 25a2+ 36 B. 25a2- 36 C. 25a2 ...

7:01 | Factorising Using Common Factors To factorise an algebraic expression, we must determine the highest common factor (HCF) of the terms and insert grouping symbols, usually parentheses. If we expand the expression 5a(a − 2) we obtain 5 a2 − 10 a. To factorise 5a2 − 10 a we simply reverse the process. We notice that

Factorisation Taking common, we get = (a2 + 1) (a -3) 6. 16(a + b)2 - 4a - 4b Solution: We have, 16 (a + b)2 - 4a - 4b Grouping to arrive at a common term = 16(a + b)2 - 4 (a + b) Taking common, we get = 4(a + b) [4 (a + b) - 1] = 4(a + b) (4a + 4b - 1) 7. Factorize by the grouping method: a4 - 2a3 - 4a + 8 Solution: We have, a4 - 2a3 - 4a + 8

When factoring by grouping, you sometimes have to rearrange the terms to find a common binomial factor. After factoring out the GCF, the remaining binomial factors must be the same for the technique to work. Not all polynomials can be factored as the product of polynomials with integer coefficients. In this case, we call it a prime polynomial.

Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression. Advice Read each question carefully before you start to answer it. Keep an eye on the time ...

Factorising close Factorise (algebra) To write an expression as the product of its factors. For example, 6𝒏 – 12 can be factorised as 6(𝒏 – 2). 𝒙2 + 7𝒙 + 10 can be factorised as ...