Polynomial Operations Quiz Review

Answer explanation

Remember, standard form goes from greatest exponent on the variable to lowest exponent on the variable (if there is no variable, the constant goes last)

Add the following polynomials:

(x³-2x²+3)+(2x³+3x²-1)

• 3x³-2x²+3x+2

• 3x³+x²+2

• 3x³-5x²-2

• 3x³-x²+1

• None of these

• combine like terms

• distribute the negative to all terms

• distribute the negative to the second set of terms

Simplify:
(x-7)²

• x²-49
• x²+49
• x²-14x+49
• x²-14x-49

The length of a rectangle is x + 2 units and the width is 3x + 7
 units. Find the area.

• 3x² + 9x + 14 square units
• 3x² + 13x + 14 square units
• 4x + 9 square units
• 8x + 18 square units

What is the GCF of the terms below?

24x³ + 36x²

• 8x

• 6x²

• 12x²

• 4x

• 12x³

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)