Expansion and Factorisation Unit Vocabulary List- Chinuntdet

perfect squares

(a+b)² and (a-b)²

coefficient

2(x+3) it is 2

quadratic trinomial

an algebraic expression of the form ax² + bx + c where x is a variable and a, b, and c are constants, a does not equal 0

Difference of two squares

a² - b², when the middle two terms add up to zero

linear factors

factors of the form ax+b

common factors

factors that are common in two algebraic products or whole numbers

FOIL

first, inner, outer, last

expansion

in expressions, remove brackets

factors

in the same way that whole numbers have them, algebraic products are also made up of factors; for example we can write 60 as 2x2x3x5 and we can write 2xy² as 2×x×y×y

algebra

need it to manipulate equations, solve problems for unknown variables, and also to develop higher level mathematical theories

factorization

process of writing an expression as a product of its factors. the reverse process of expansion; insert brackets

product

product of 2 and 5 equals 10; multiplication`

algebraic products

products which contain variables

expand

remove the brackets

Distributive Law

says that we must multiply the coefficient by each term within the brackets, and add the results

sum

sum of 2 and 5 equals 7; addition

highest common factor

to find it, we express the numbers as products of prime factors. the common prime factors are then found and multiplied to get the ________