Application of Polynomial Operations

Multiply the polynomial
4(y-7) + 5y

• 9y - 7

• 9y - 28

• 20y - 28

• 9y + 28

Multiply the Polynomials
2a²(3a - 5)-6a(8a² - 2a + 4)

• -42a³ + 2a² - 24a

• 6a³ - 10a²

• -48a³ + 12a² - 24a

• -42a³ - 22a² + 24a

Simplify the following expression:
19 - ( 3 - 5b)

• 16 + 5b

• 21 + 5b

• 16 - 5b

• 21 - 5b

Simplify the expression.
2x(-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 

• x + 2

• 2x² + x - 10 

• x - 10 

Add or Subtract to Simplify:
 (5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7

Add the polynomials. (3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

(combine like terms)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

What is the standard form of the polynomial?

 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0

• 2

• 4

• 6