We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

Polynomials: The Shmoop Factor Quiz

Think you’ve got your head wrapped around Polynomials? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. Factor x2 – 6x + 9


(x + 3)2
(x – 3)2
(x + 2)2
(x + 9)2
(x – 9)2
Q. Factor x2 + 8x + 16


(x + 16)2
(x + 8)2
(x + 4)2
(x + 2)2
(x + 6)2
Q. Factor x2 – 14x + 49


(x – 7)2
(x – 8)2
(x – 9)2
(x – 2)2
(x – 14)2
Q. Solve x2 – 64 = 0


x = -5, 5
x = -6, 6
x = -7, 7
x = -8, 8
x = -9, 9
Q. Solve x2 – 81 = 0


x = -5, 5
x = -6, 6
x = -7, 7
x = -8, 8
x = -9, 9
Q. Factor x3 + 1


(x + 1)(x2x – 1)
(x – 1)(x2 + x + 1)
(x – 1)(x2x + 1)
(x + 1)(x2 + x + 1)
(x + 1)(x2x + 1)
Q. Factor x3 – 1


(x + 1)(x2 + x – 1)
(x + 1)(x2 + x + 1)
(x – 1)(x2x – 1)
(x – 1)(x2 + x + 1)
(x – 1)(x2x + 1)
Q. What are the correct coefficients when we expand (xy)4?


1, 4, 6, 4, 1
1, 3, 9, 3, 1
1, 2, 1, 2, 1
1, 2, 3, 4, 5
1, 2, 3, 2, 1
Q. What are the correct coefficients when we expand (m + n)5?


1, 3, 5, 5, 3, 1
1, 2, 3, 3, 2, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 6, 4, 1
1, 5, 15, 15, 5, 1
Q. What is the correct first term of the expansion (3c – 3b2)4?


3c4
81c4
9c4
27c4
c4