Polynomials

GCF

100

What is the GCF of: 5x²+25x⁴-50x

5x

200

What is the GCF of: 70x⁹+35x⁸+28x⁸

7x⁸

300

What is the GCF of: 8x⁴y³+24x³y⁶+16x²y⁴

8x²y³

400

What is the GCF of: 100xy³+200x³y²+50

50

500

What is the GCF of: 150x⁸y⁹z²+75x³y⁷z-25x⁴y⁵z³

25x³y⁵z

Factor

100

Factor: 5x²+15x+25

5(x²+3x+5)

200

7x²+14x⁴+28x⁸

7x²(1+2x²+4x⁶)

300

6xy-18x²y⁵+3xy²

3xy(2-6xy⁴+y)

400

12x⁴y³z-18x⁴y⁶z³+30x²y⁶z

6x²y³z

500

Factor: 90x²y⁴-180x³y⁷+270x⁴y⁵

90x²y⁴(1-2xy³+3x²y)

Multiply

100

(x⁵y⁷z³)(x³y⁴z³d)

x⁸y¹¹z⁶d

200

(a²b⁵c⁴)(a³b⁴c⁶)

a⁵b⁹c¹⁰

300

(x+6)²

x²+12x+36

400

(x+2x)²

x²+2x²+2x²+4x²

=9x²

500

(3a-4b)²

9a²-24ab+16b²

Misc.

100

What is the name of the number attached to a variable?

Coefficient

200

Fill in the blank:

14x²+28x

=14x(__+__)

x+2

300

What is a factor?

A number that can be taken out of another number evenly without leaving a remainder. 

400

Fill in the blank:

100x⁵y³+50x⁴y⁷

50x⁴y³(__+__)

2x+y³

500

Find the error: Emma factored 625g¹⁶-25h⁴. 

625g¹⁶-25h⁴

=(25g⁴)² - (5h²)²

=(25g⁴+5h²)(25g⁴-5h²)

Step 2