Factoring Polynomials by GCF and D2PS

GCF and perfect square Numbers

100

What is the greatest common factor of 10 and 5?

5

200

What is the greatest common factor of 4 and 30?

2

300

what is the positive square factor of 361

19 

400

explain why x⁵  is not a perfect square

because of the odd exponent 

500

What is the greatest common factor of 120 and 24?

24

Binomials (GCF)

100

16p⁴ + 4p³

4p³(4p + 1)

200

9x + 36

9(x + 4)

300

6n³ - 3n⁵

3n³(2 - n²)

400

63x¹² − 35x⁶

7x⁶(9x⁶ - 5)

500

45b + 63 

9(5b + 7)

Difference of 2 perfect squares

100

m² - 9

(m + 3)(m - 3) 

200

4n² - 1

(2n+1)(2n-1)

300

25x² - 64

(5x + 8)(5x - 8) 

400

v² - 16w²

(v + 4w)(v - 4w)

500

x² + 49

un-factorable because of the plus sign

Trinomials (GCF)

100

14a + 21a² + 21a³

7a(2 + 3a + 3a²)

200

50p³ + 50p² - 20

10(5p³ + 5p² − 2)

300

9x⁶− 63x³ − 90x²

9x²(x⁴ - 7x - 10)

400

10n³ - 9n² + n

n(10n² - 9n + 1)

500

9x⁴y² - 15x³y + 3x²y

3x²y(3x²y - 5x + 1)

Random Questions

100

how many hearts does a worm have?

5

200

what is the diameter of a basketball hoop (in inches) 

18 inches

300

how many bones does a shark have? 

zero

400

what is the world record for the most number of hot dogs eaten in 10 minutes? 

76

500

what was the only sport played on the moon? 

gulf