GCF and DOTS Practice

Factoring can be thought of as...

• division

• reverse distribution

• subtraction

• a waste of time

When determining the GCF for variables, take the highest exponent.

• True

• False

Factor using the GCF: $5x-15$  

•  $5\left(x-5\right)$  

•  $5\left(x+3\right)$  

•  $3\left(x-5\right)$  

•  $5\left(x-3\right)$  

Factor out the GCF: $3x^2-6x+9$  

•  $3x\left(x^2-2x+3\right)$  

•  $3\left(x^2+2x+3\right)$  

•  $3\left(x^2-2x+3\right)$  

•  $3x\left(x-2\right)$  

Factor using the GCF: $8x^5+12x^3-2x$  

•  $4x\left(2x^4+3x^2-2\right)$  

•  $2x\left(4x^4+6x-1\right)$  

•  $2x\left(4x^4+6x^2-1\right)$  

•  $4x\left(4x^4+3x^2-2\right)$  

An expression that is able to be factored using the Difference of Two Squares method must have how many terms?

• one

• two

• three

• it doesn't matter

In order for an expression to be factored using a Difference of Perfect Squares, its exponents must be...

• even

• odd

• perfect squares

Numbers that are perfect squares...

• are even

• have square roots that are rational numbers

• have square roots that are odd

• are cooler than round numbers

Factor using DOTS: $x^2-100$  

•  $\left(x^2-10\right)\left(x^2+10\right)$  

•  $\left(x-50\right)\left(x+50\right)$  

•  $\left(x-10\right)\left(x+10\right)$  

•  $\left(x^2-50\right)\left(x^2+50\right)$  

Factor using DOTS $4x^8-25$  

•  $\left(2x^4-5\right)\left(2x^4+5\right)$  

•  $\left(4x+5\right)\left(4x-5\right)$  

•  $\left(2x^2-5\right)\left(2x^2+5\right)$  

•  $\left(16x^4-50\right)\left(16x^4+50\right)$