Applications of Adding and Subtracting Polynomials

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Simplify:

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

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x
• 2x³+6x²+9x
• -2x³-6x²+9x
• 2x³-6x²+9x

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24
• 4x⁴ - 9x³ - 10x² - 2x - 24
• 4x⁴ - 9x³ - 10x² + 2x - 24
• -4x⁴ - 9x³ - 10x² - 24

Is b + 8 a monomial?

• yes
• no

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

Add the polynomials.
(2x + 5y) + (3x - 2y)

• 3x + 5y
• 5x + 3y
• 5x + 7y
• 7xy + 1xy

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

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

What is the correct name of the following:
3x + 5y² - 3

• monomial
• binomial
• trinomial
• polynomial