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Page 1 9 3 3 20 2 10 2 5 Remember: A factor is a number that can be multiplied to give a specific number. For example, 3 and 4 are factors of 12. Here are two examples of prime factorisation. Can you tell the prime factors of the two numbers? FACTOR TREES Page 2 9 3 3 20 2 10 2 5 Remember: A factor is a number that can be multiplied to give a specific number. For example, 3 and 4 are factors of 12. Here are two examples of prime factorisation. Can you tell the prime factors of the two numbers? FACTOR TREES 3 6 4 2 SCRIBBLE SPACE Page 3 9 3 3 20 2 10 2 5 Remember: A factor is a number that can be multiplied to give a specific number. For example, 3 and 4 are factors of 12. Here are two examples of prime factorisation. Can you tell the prime factors of the two numbers? FACTOR TREES 3 6 4 2 SCRIBBLE SPACE 6 0 2 4 SCRIBBLE SPACE Page 4 9 3 3 20 2 10 2 5 Remember: A factor is a number that can be multiplied to give a specific number. For example, 3 and 4 are factors of 12. Here are two examples of prime factorisation. Can you tell the prime factors of the two numbers? FACTOR TREES 3 6 4 2 SCRIBBLE SPACE 6 0 2 4 SCRIBBLE SPACE 9 3 3 20 5 4 2 2 Remember: A factor is a number that can be multiplied to give a specific number. For example, 3 and 4 are factors of 12. Task: Fill in the blanks to complete each factor tree below. FACTOR TREES Name: Class: ANSWER KEY SCRIBBLE SPACE Page 5 9 3 3 20 2 10 2 5 Remember: A factor is a number that can be multiplied to give a specific number. For example, 3 and 4 are factors of 12. Here are two examples of prime factorisation. Can you tell the prime factors of the two numbers? FACTOR TREES 3 6 4 2 SCRIBBLE SPACE 6 0 2 4 SCRIBBLE SPACE 9 3 3 20 5 4 2 2 Remember: A factor is a number that can be multiplied to give a specific number. For example, 3 and 4 are factors of 12. Task: Fill in the blanks to complete each factor tree below. FACTOR TREES Name: Class: ANSWER KEY SCRIBBLE SPACE 3 6 3 1 2 2 2 4 3 4 2 7 6 3 2 SCRIBBLE SPACERead More
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FAQs on Infographic - Factorisation - Mathematics (Maths) Class 8
| 1. What is factorisation in mathematics? |  |
Ans.Factorisation is the process of breaking down an expression into a product of simpler factors. For example, the factorisation of the quadratic expression \(x^2 - 5x + 6\) is \((x - 2)(x - 3)\).
| 2. Why is factorisation important in algebra? | |
Ans.Factorisation is important because it simplifies expressions and equations, making them easier to solve. It helps in finding roots of polynomials, solving quadratic equations, and simplifying fractions.
| 3. What are the different methods of factorisation? | |
Ans.Some common methods of factorisation include taking out the common factor, using the difference of squares, factoring trinomials, and applying the quadratic formula for polynomials. Each method is suited for different types of expressions.
| 4. How do you factorise a quadratic equation? | |
Ans.To factorise a quadratic equation, you need to express it in the form \(ax^2 + bx + c\). Identify two numbers that multiply to \(ac\) (the product of \(a\) and \(c\)) and add to \(b\). Rewrite the middle term using these numbers and factor by grouping.
| 5. Can all algebraic expressions be factorised? | |
Ans.Not all algebraic expressions can be factorised into rational factors. Some expressions, like irreducible polynomials, cannot be expressed as a product of simpler polynomials over the rationals. However, they may still be factorable over other number systems.
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