- #1
shreddinglicks
- 212
- 6
Homework Statement
2cos^2(θ) + cos(θ) - 1
Homework Equations
2cos^2(θ) + cos(θ) - 1
The Attempt at a Solution
the answer is (2cos(θ)-1)(cos(θ)+1)
How do I factor this to give me that answer?
Factoring is the process of finding two or more numbers that can be multiplied together to give a given number. It is important because it allows us to simplify complicated expressions and solve equations.
Factoring involves breaking down an expression into smaller parts, while simplifying involves reducing an expression to its simplest form. Factoring is a more specific process that can be used to simplify an expression.
The most common methods for factoring are the Greatest Common Factor (GCF) method, the Difference of Squares method, and the Quadratic Formula method. Other methods include grouping, trial and error, and completing the square.
You should use factoring to solve an equation when the equation is in the form of ax^2 + bx + c = 0 and can be factored into two binomials. This method is especially useful when solving quadratic equations.
Some tips for factoring efficiently include: always checking for the GCF first, using the appropriate method for the type of expression, and practicing common factoring patterns. It is also helpful to check your answers by multiplying the factors back together.