Factorizing quadratic expressions is an important skill in GCSE Mathematics. Here are some easy techniques to help you learn this topic:
Common Factor Method: First, look for a number or letter that is in every part of the expression. For example, in the expression (6x^2 + 9x), the common factor is (3x). So, we can factor it as (3x(2x + 3)).
Difference of Squares: This method works for expressions like (x^2 - 9). It can be factored into ((x - 3)(x + 3)).
Product-Sum Method: If the expression looks like (ax^2 + bx + c), find two numbers that multiply to (ac) and add up to (b). For example, in (x^2 + 5x + 6), the numbers (2) and (3) fit, so we can write it as ((x + 2)(x + 3)).
AC Method: For more complex ones, multiply (a) and (c), then use the same steps to factor it.
The more you practice, the better you’ll get! Keep it up!
Factorizing quadratic expressions is an important skill in GCSE Mathematics. Here are some easy techniques to help you learn this topic:
Common Factor Method: First, look for a number or letter that is in every part of the expression. For example, in the expression (6x^2 + 9x), the common factor is (3x). So, we can factor it as (3x(2x + 3)).
Difference of Squares: This method works for expressions like (x^2 - 9). It can be factored into ((x - 3)(x + 3)).
Product-Sum Method: If the expression looks like (ax^2 + bx + c), find two numbers that multiply to (ac) and add up to (b). For example, in (x^2 + 5x + 6), the numbers (2) and (3) fit, so we can write it as ((x + 2)(x + 3)).
AC Method: For more complex ones, multiply (a) and (c), then use the same steps to factor it.
The more you practice, the better you’ll get! Keep it up!