- #1
roxas
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i know i totally sux so can anyone help me? thx
factorise x^3 - 2x^2 - 5x + 6
factorise x^3 - 2x^2 - 5x + 6
Yep and you should start by "guessing a number" that is either (-1,1,2,-2,3,-3,6,-6). Why these numbers ? Well 6 can be divided by these numbers. Let's say that number is 6. Then perform an Euclidian devision in which you divide the given expression by (x - 6). What you get is an expression of second degree in x times (x-6) equals the given expression. This should get you startedarildno said:Find a zero for your expression.
Opps did not know that. Thanks for the advice, besides enough info has been given.arildno said:Don't bother to help OP, marlon.
In another thread, he has refused even to do a single thing on his own with the expression 18t^2-2.
He is just after having his homework done for him.
1. What is factorisation and why is it important?
Factorisation is the process of breaking down a number into its prime factors. It is important in mathematics because it helps us simplify complex expressions, solve equations, and find common factors between numbers.
2. How do I factorise a number?
To factorise a number, you need to find its prime factors. Start by dividing the number by its smallest prime factor, then continue dividing by prime factors until you are left with only prime numbers. The product of these prime factors is the factorisation of the original number.
3. What is the difference between prime and composite numbers?
Prime numbers are numbers that are only divisible by 1 and itself, while composite numbers have more than two factors. Prime numbers are the building blocks of all other numbers, and any non-prime numbers can be written as a product of prime factors.
4. Can I factorise algebraic expressions?
Yes, algebraic expressions can also be factorised using the same principles as factoring numbers. Look for common factors and use the distributive property to simplify the expression into its prime factors.
5. Why do we use factorisation in real-life situations?
Factorisation is used in many real-life situations, such as simplifying fractions, finding the greatest common factor, and solving problems in physics and engineering. It is also used in cryptography, where large numbers are factorised to create secure encryption codes.