Simple factoring out in math lessons

What do you need simple brackets for?

• The easiest way to know when to factoring out is when simple factoring out is directly required in a math problem.
• If you have a quadratic function that does not contain a number without a variable, it is the easiest way to determine the zeros. By simply factoring out, the application of the p-q formula or lengthy reshaping is no longer necessary. Example: f (x) = 2x² + 4x. By factoring out, you get f (x) = 2x (x + 2) and thus the zeros x = 0 and x = -2, since 2x = 0 or x + 2 = 0.
• Polynomial division is also a way of factoring out, it's just not that easy. The polynomial division is also mostly used to determine a zero.
• In order to reduce fractions that consist of sums, it is also useful to first exclude the number to be reduced from the sum.
• If you need to transform the normal form of a function into the vertex form, factoring is also necessary.
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Factoring out - an explanation

Factoring out is a mathematical operation that can be used for many arithmetic tasks ...

This is how you succeed in factoring out

1. First of all, it is important to find a number or variable that is in each summand. Of course, it is also possible that you have already specified what exactly you should exclude. Here's a small example: If you've given 4x + 8, you can see that in both Counting the number 4 is obtained. So you can exclude this number.
2. To factor out a number, divide each addend by that number. Write the number in front of a bracket and the quotient you got in the bracket. In the example it would look like this 4 × (4x: 4 + 8: 4). Calculated, this results in 4 × (x + 2).
3. Example 2: 8x²+ 6x = 0. To calculate x, you should factor x. In addition, there is a 2 in the numbers 8 and 6, so you can also exclude this number. So you get: 2x × (8x²: 2x + 6x: 2x) = 0. If you do this you get: 2x × (4x + 3) = 0.