Factorising Quadratics Equations when the coefficient of x squared is NOT equal to 1.

Quadratic Expressions can be written in the form ax^2 + bx +c, where a, b and c are numbers. a is called the coefficient of x^2 (x squared ) and b is the coefficient of x. c is a constant term- it is a number that is not multiplied by the variable x. Quadratic expression 6x^2 + 13x +6, a = 6, b = 13 and c = 6. To factorise this quadratic, first multiply the coefficient of x^2 ( x squared) by the constant term c. Which is 6 x6 = 36. Find two numbers which have a product of 36 ( Multiply two numbers to get 36) and a sum of same numbers should be 13. These are 4 and 9 as 4x 9=36 and 4 + 9 = 13 Rewrite 13x as 4x and 9x as these are the two numbers found using the product and sum rule Factorise the first two terms and the last two terms separately. The bracket created should always be the same. The first bracket is the common factor of ( 3x + 2). The second bracket is the factorised terms outside of each bracket (2x + 3) Factorising is the reverse process of expanding brackets. A factorised answer will always contain a set of brackets. To factorise an expression fully, take out the highest common factor (HCF) of all the terms. For example, 2x is the HCF of 4x2 and 6x as 2 is the biggest number that will divide into 4 and 6 and x is the biggest variable that will divide into x^2 ( x squared ) and x . In algebra, letters are used to stand for values that can change (variables ) or for values that are not known ( unknowns ). A term is a number or letter on its own, or numbers and letters multiplied together, Letters can be used to stand for unknown values or values that can change. Formulas can be written and equations solved in a range of problems in science and engineering. Collecting like terms means simplifying terms in expressions in which the variables are the same. 5 x n and n x 5 are both written 5n a x b and b x a are both written ab 5a, 7a, a, 12a,... are examples of like terms 5a, 7b, z, 12y,..... are examples of unlike terms Collecting like terms means simplifying terms in expressions in which the variables are the same. In the expression 4a + 3b + 3a - 6b, the tears 4a and 3a are like tears, as are 3b and - 6b. The Federal Trade Commission (“FTC”) requires that all affiliate marketing be disclosed. This requirement is part of the FTC’ attempts to make sure that consumers are presented with as much accurate information as possible when making decisions about their purchases. Factorising Quadratics Equations the coefficient of x squared is NOT equal to 1. The Federal Trade Commission (“FTC”) requires that all affiliate marketing be disclosed. This requirement is part of the FTC’ attempts to make sure that consumers are presented with as much accurate information as possible when making decisions about their purchases "The channel assumes no responsibility or liability for any errors or omissions in the content of this site. The information contained in this site is provided on an "as is" basis with no guarantees of completeness, accuracy, usefulness or timeliness..."