Final answer:
The concept in question relates to algebraic manipulation where we often factor out coefficients of variables to simplify expressions; this is a fundamental part of algebra, relevant to dealing with equations and quadratic formulas.
Step-by-step explanation:
The question asks about factoring out the coefficient of a variable, which is a typical task in algebra to simplify expressions or solve equations. In the context given, this seems to be a True/False statement about a mathematical process. To factor out means to take a common factor from each term and express it outside of a parenthesis. This technique is useful in various algebraic manipulations.
For example, consider the equation ax + ay = a(x + y). Here, a is the coefficient factored out of the terms ax and ay. This process is also used in the application of the quadratic formula, where we set the equation to zero and factor out the coefficient if necessary before applying the formula.
Regarding the statements provided:
- Pythagorean theorem can indeed be used to calculate the length of the resultant vector when two vectors are at right angles. This statement is True.
- A vector can form the shape of a right angle triangle with its x and y components, which is also True.
- When an equation has one variable, algebra can be used to solve for the unknown, which is True.