© 2016 Shmoop University, Inc. All rights reserved.
Polynomials

Polynomials

Polynomials: We Apolynomialogize for This Title 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. Evaluate the polynomial x2y3 + 3x2y – 4xy2 + 3 for x = -1 and y = -2.


-27
5
17
21
24
Q. Find (-3x3 + 4x2 – 2x – 3) + (3x3 + 2x2 + 3x – 9).


6x2 + x – 12
6x3 + 6x2 + 5x – 12
6x2 – 5x – 12
6x3 + 6x2 – 5x – 12
6x3 – 6x2 + 12
Q. Find (x2y + 7x + xy3) – (-xy2 – 7x – 3xy3 + x2y).


2x2y – 2xy3 + xy2
x2y + 14x + 4xy3
14x + 4xy3 + xy2
2x2y + 14x + 4xy3 + xy2
14x2 + 2xy3xy3
Q. Find (3xy)(4x2y + xy2 – 17).


12x3y2 + 3xy2 – 17
7x3y2 + 3x2y3 – 51xy
12x3y2 + 3x2y3 – 51xy
12x3y2 + 3xy3 – 51xy
7x2y3 + 3x3y2 – 51xy
Q. Find (3x2 + 4)(x2 – 9).


3x2 – 31x – 27
3x2 + 23x3 – 27
3x4 – 31x2 – 36
3x4 – 23x2 – 36
3x4 + 27x2 – 31
Q. What is (2x + y)2?


2x2 + y2
4x2 + 2xy + y2
4x2 + 4xy + y2
4x2 + y2
2x2 + 2xy2 - y
Q. Multiply: (y4 + 2y)(y4 – 2y).


y4 – 2y4 – 4y2
y8 – 4y2
y16 + 4y5 – 4y2
y16 – 4y2
y4 – 2y2 + y3
Q. Find (4x2 – 3x + 2)(-x + 7).


-4x3 + 31x2 – 23x + 14
-4x3 + 25x2 – 23x + 14
-4x3 + 31x2 + 19x + 14
-4x3 + 25x2 + 19x + 14
-4x3 + 31x2 – 19x – 14
Q. Which two binomials have a product of 25y2 – 40y + 16?


(5y + 4)(5y + 4)
(5y + 4)(5y – 4)
(5y – 4)(5y – 4)
(-5y + 4)(-5y – 4)
(-5y + 4)(5y + 4)
Q. Which expression is equivalent to (x2 + 3x)(x2)(x2 – 3x)(x2 + 9)?


x6 – 9x4
x8 – 6x7 – 54x5
x16 – 9x4
x8 – 81x4
x16 + 54x3