What are the factoring rules?
Factoring Rules
- x2 – (r + s)x + rs = (x – r)(x – s)
- x2 + 2ax + a2 = (x + a)2 and x2 – 2ax + a2 = (x – a)2
- Difference of squares: a2 – b2 = (a – b)(a + b)
- Difference of cubes: a3 – b3 = (a – b)(a2 + ab + b2)
- a4 – b4 = (a – b)(a3 + a2b + ab2 + b3) = (a – b) [ a2(a + b) + b2(a + b) ] = (a – b)(a + b)(a2 + b2)
What is the factoring in math?
In algebra, factoring is used to simplify an algebraic expression by finding the greatest common factors that are shared by the terms in the expression. Explore the factoring process, learn how to identify the factors of an expression or term, and practice examples.
How do you explain factoring in math?
Factoring: Finding what to multiply together to get an expression. It is like “splitting” an expression into a multiplication of simpler expressions.
What is the first thing you look for when factoring?
RULE # 1: The First Rule of Factoring: Always see if you can factor something out of ALL the terms. This often occurs along with another type of factoring.
What are some examples of factoring?
A common method of factoring numbers is to completely factor the number into positive prime factors. A prime number is a number whose only positive factors are 1 and itself. For example, 2, 3, 5, and 7 are all examples of prime numbers. Examples of numbers that aren’t prime are 4, 6, and 12 to pick a few.
What are some examples of factors in math?
1. Factor 24: It is also possible to factor other mathematical objects, such as polynomials. 2. Factor x 2 – 16: The above is an example of an expression that is relatively easy to factor. The format of the expression, a 2 – b 2, is referred to as a difference of squares.
What is an example of factorising single brackets?
1 Factorising single brackets Example of factorising an algebraic expression: 3x + 6 = 3 (x + 2) Remember: 3x+6 is known as a binomial because it is an expression 2 Factorising double brackets a) When factorising quadratic expressions in the form x 2 + b x + c x 2 + 6x + 5 = (x + 5) (x 3 Differences of two squares
What is an example of a prime factorization?
For example, 2, 3, 5, and 7 are all examples of prime numbers. Examples of numbers that aren’t prime are 4, 6, and 12 to pick a few. If we completely factor a number into positive prime factors there will only be one way of doing it.