Adding and Subtracting Polynomials

Which of the following are examples of like terms?

• 2 and 2x

• y³ and x³

• y and x

• -3x and 3x

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

• 3a² + 2a - 1

• a² + 8a + 7

• 3a² + 8a + 7

• a² + 2a - 1

Add: (3x - 2) + (3x² + 6x)

• 3x² + 9x - 2

• 6x² + 4x

• 3x² + 3x - 2

• 6x² + 6x - 2

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z

• -x +10y - 10z

• x -10y - 10z

• -x -10y - 10z

What is the type of polynomial 3x⁴ + 2x² + 5x ?

• monomial

• binomial

• trinomial

• polynomial

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

• 1

• 2

• 3

• 4

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 20a - 7 

• 5a³ - 9a² - 20a - 7

What is the degree of the polynomial? 5x⁵ - 6x⁶ + 2

• 1

• 5

• 6

• 11

Which of the following are examples of like terms?

• 2 and 2x

• y³ and x³

• y and x

• -3x and 3x