Polynomial Factoring

GCF

Difference of Two Squares

Factoring Trinomials

Mixture

Random!

100

Find the GCF of the expression below. Factor out the GCF.

x²+x

x(x+1)

100

Completely factor the expression below (HINT: Look for a GCF first).

x²-100

(x+10)(x-10)

100

Completely factor the expression below (HINT: Look for a GCF first).

x²+7x+12

(x+3)(x+4)

100

What is a polynomial that cannot be factored called?

Prime!

100

What two things do we have to look for if I want to find the GCF of an expression?

The coefficients and the variables.

200

Find the GCF of the expression below. Factor out the GCF.

25x²+50x⁴

25x²(1+2x²)

200

Completely factor the expression below (HINT: Look for a GCF first).

a²+36

Prime!

200

Completely factor the expression below (HINT: Look for a GCF first).

y²-5y+6

(y-2)(y-3)

200

Find the GCF of the expression. Factor out the GCF.

-z³-z²-z

-z(z²+z+1)

200

What two things do you need to utilize the difference of two squares?

A subtraction sign between the two terms and able to take the square-root of both terms.

300

Find the GCF of the expression below. Factor out the GCF.

27a⁴-9a²+6a¹⁰

3a²(9a²-3+2a⁸)

300

Completely factor the expression below (HINT: Look for a GCF first).

9z²-25

(3z+5)(3z-5)

300

Completely factor the expression below (HINT: Look for a GCF first).

x²-13x+30

(x-10)(x-3)

300

What is the "?".

?(y+5)=y²+8y+15

(y+3)

300

What is Mr. Sirwell's first name?

Carter

400

Find the GCF of the expression below. Factor out the GCF.

15x⁷-30x³+12x⁴

3x³(5x⁴-10+4x)

400

Completely factor the expression below (HINT: Look for a GCF first).

4a⁴-16a²

4a²(a+2)(a-2)

400

Completely factor the expression below (HINT: Look for a GCF first).

4x²-12x-40

4(x-5)(x+2)

400

Completely factor the expression below (HINT: Look for a GCF first).

y²+25

Prime!

400

How old is Mr. Sirwell?

500

Find the GCF of the expression below. Factor out the GCF.

34z⁴-17z⁸+51z³

17z³(2z¹-1z⁵+3)

500

Completely factor the expression below (HINT: Look for a GCF first).

81x⁶-441

9(3x³+7)(3x³-7)

500

Completely factor the expression below (HINT: Look for a GCF first).

6x³-18x²-48x

6x(x-4)(x+2)

500

What is the "?". (Hint: The question mark does not have to be a monomial)

3x(?)=3x³-30x

x²-10

500

When you factor something out, what operation are you doing?

Division