Factoring:
x² + 4x + 3
To solve, first find two numbers that multiply to 3 and add to 4. These two numbers would be 3 and 1. Write out the four terms and group them into two sets of two. Find the GCF (greatest common factor) of each set and factor it out futher.
x² + 4x + 3
x² + 3x + x + 3
(x² + 3x) (+ x + 3)
x (x + 3) + 1 (x + 3)
(x + 1) (x + 3)
x² + 5x + 6
To solve, first find two numbers that multiply to 6 and add to 5. These two numbers would be 2 and 3. Write out the four terms and group them into two sets of two. Find the GCF (greatest common factor) of each set and factor it out futher.
x² + 5x + 6
x² + 2x + 3x + 6
(x² + 2x) (+ 3x + 6)
x (x + 2) + 3 (x + 2)
(x + 3) (x + 2)
Multiply the following:
To solve these, you can use the FOIL method. When you FOIL, you multiply the First, Outside, Inside, and Last terms together; then, you combine like terms.
(x-2)(x+3)
x² + 3x -2x -6
x² + x - 6
(2x-3)(x-4)
2x² - 8x - 3x + 12
2x² - 11x + 12
That quote is from the Hunger Games! It's one of my favorite book series, and I'm sure I know almost all of the words to the movies by now. :)
