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