Identify, Add and Subtract Polynomials

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

• x + 10y - 10z
• -x +10y - 10z
• x -10y - 10z
• -x -10y - 10z

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 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

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

Add: (3x - 2) + (3x² + 6x)

• 3x² + 9x - 2
• 6x² + 4x
• 3x² + 3x - 2
• 6x² + 6x - 2

Add: (3x² + 2x + 1) + (2x² - 4x - 5) + (3x - 1)

• 5x² + 6x - 7
• 8x² - 3x - 5
• 5x² + x - 5
• 6x² + 8x + 5

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

• 3a² + 2a - 1
• a² + 8a + 7
• 3a² + 8a + 7
• a² + 2a - 1

Combine like terms:

8x³y + 3x²y + 4xy + 5x²y + 2xy + 7x²y

• 8x³y + 8x²y + 2xy

• 11x³y + 15x²y + 8xy

• 8x³y + 15x²y + 6xy

• 23x²y + 6xy