Factoring with Negatives

Factoring with Negatives

Just because we may have a negative somewhere, does not mean the rules change.

Remember!!!

Multiple Choice

What do we need to find when we factor? Two numbers that...

• Add to make "a", subtract to make "c"

• Add to make "b", add to make "c"

• Add to make "b", multiply to make "c"

• Multiply to make "b", add to make "c"

Multiple Choice

Factor
x² + 5x + 4

• (x + 4)(x + 1)
• (x + 2)(x + 2)
• (x + 4)(x - 1)
• (x + 5)(x + 1)

Multiple Choice

Factor
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

NOW WITH NEGATIVES!!

Multiple Choice

What are two numbers that will multiply to make -6 but add to make -5?

• 1 and -6

• -1 and 6

• -2 and 3

• 2 and -3

Multiple Choice

Factor: x² + 2x – 3

• (x - 2)(x + 1)
• (x + 1)(x - 3)
• (x + 2)(x - 1)
• (x - 1)(x + 3)

Multiple Choice

Factor
x²+12x+35

• (x+5)(x+7)
• (x+4)(x+3)
• (x+7)(x-5)
• Not possible

Multiple Choice

Factor:
x² - 10x + 24

• (x - 6)(x - 4)
• (x + 6)(x + 4)
• (x - 12)(x + 2)
• (x - 8)(x - 3)

Multiple Choice

p² − 5p − 14

• ( p + 2)( p + 7)

• ( p + 2)( p − 7)

• ( p - 2)( p − 7)

• ( p - 2)( p + 7)

Multiple Choice

Factor:

$$k^2-9k+14$$  

• $$(k+3)(k-7)$$  

• $$(k-2)(k-7)$$  

• $$(k-2)(k+7)$$  

• $$(k-9)(k+10)$$  

If I were a high school student learning how to factor... I would definitely find a place to write this down in my notebook so I could have it for tests and quizzes... :)

Something Helpful... :)