Question

Challenge question: I will only mark brainliest and let you get all those pointsif you got everything correct and if you actually need it. Otherwise I will report
Factor the following equations:

x^2 + 4x +3

x^2 + 5x + 6

Multiply the following:

(x-2)(x+3)

(2x-3)(x-4)

May the odds be ever in your favor! (By the way if you know where this quote is from without looking it up, I will probably mark you brainliest)

Have fun!

Answer 1

x^2 + 4x +3

Answer: 15+4x

x^2 + 5x + 6

Answer: 18+5x

(x-2)(x+3)

Answer: x²+x-6

(2x-3)(x-4)

Answer: 2x²-11x+12

Answer 2

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. :)