Operations with Polynomials Test Study Guide

Simplify:

• 9n³ + 4n
• 7n³ + 6
• -3n³ + 2
• 7n⁶ + 6

Simplify:

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Find the product.

(x+7)²

• x² + 49

• x² + 7x + 7

• 7x² + x + 7

• x² + 14x + 49

A = 2x² + 3x + 5
C = 3x² - 7x + 12
If A + B = C,
what must B equal?

• x² - 10x + 7
• 5x² - 4x + 17
• x² - 4x + 7
• 5x² - 10x + 17

Multiply
(x+5)²

• x²+25
• x²-25
• x²+10x+25
• x²-10x+25

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

How many terms are in the following polynomial?
3x³ - 2y + 8x -16

• 1
• 2
• 4
• -16

A rectangle has width (2x + 3) and length (2x - 4).  What is the perimeter of the rectangle?

• 4x - 12
• 4x - 1
• 8x - 2
• 4x² - 2x - 12

Find the area of a rectangle with length (x - 5) and width (3x + 1).

• 3x²+16x-5
• 3x²-14x+5
• 3x²-14x-5