Question

Factorising Quadratics

a)x²+bx+c
b)Numbers that multiply to make c and add to make b
c)Write out list of factor pairs for ax²+bx+c use method in example

Answer 1

To factorize a quadratic equation of the form ax²+bx+c, two numbers that multiply to give the constant term 'c' and add up to give the coefficient of the linear term 'bx' are needed.

Step-by-step explanation:

To factorize a quadratic equation of the form ax²+bx+c, we need to find two numbers that multiply to give the constant term 'c' and add up to give the coefficient of the linear term 'bx'. Let's take the example of the equation x²+bx+c.

For this equation, we need to find two numbers that multiply to give 'c' and add up to give 'b'. Once we have these numbers, we can rewrite the equation as (x+m)(x+n) where m and n are the two numbers.

For example, if c=4 and b=5, we look for two numbers that multiply to 4 and add up to 5. The numbers are 4 and 1. So, the factorized form of the equation is (x+4)(x+1).