# What are methods of factoring?

## What are methods of factoring?

The following factoring methods will be used in this lesson:

• Factoring out the GCF.
• The sum-product pattern.
• The grouping method.
• The perfect square trinomial pattern.
• The difference of squares pattern.

What is the factored form of x2 49?

Rewrite 49 as 72 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=x and b=7 .

How do you factor on a TI-84?

To factor on a TI-84, you can use the Equation Solver function. To access it, press the MATH button on your calculator, then hit the up arrow to scroll directly to the bottom of the list. Press ENTER and input the equation. You can also add a custom program to your calculator to more easily factor polynomials.

### How to do the factor theorem on a calculator?

Factoring Calculator. Step 1: Enter the expression you want to factor in the editor. The Factoring Calculator transforms complex expressions into a product of simpler factors. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. Difference of Squares: a2 – b2 = (a + b)(a – b) a 2

How to solve polynomial equations?

polynomial has integer coefficients. Example: To solve (1/3)x³ + (3/4)x² − (1/2)x + 5/6 = 0, you recognize the common factor of 1/12 and divide both sides by 1/12. This is exactly the same as recognizing and multiplying by the lowest common denominatorof 12. Either way, you get 4x³ + 9x² − 6x + 10 = 0,

How to factor a polynomial expression?

Break down every term into prime factors. This expands the expression to

• Look for factors that appear in every single term to determine the GCF.
• Factor the GCF out from every term in front of parentheses,and leave the remnants inside the parentheses.
• Multiply out to simplify each term.
• Distribute to make sure the GCF is correct.
• #### How do you solve a polynomial equation?

We can directly solve polynomials of Degree 1 (linear) and 2 (quadratic)

• For Degree 3 and up,graphs can be helpful
• It is also helpful to: Know how far left or right the roots may be Know how many roots (the same as its degree) Estimate how many may be complex,…
• Multiplicity is how often a certain root is part of the factoring.