Add/Subtract Polynomials

Which of the following are examples of like terms?

• 2 and 2x
• x³ and y³

• x and y

• -3x and 3x

Combine like terms.

8x³ + 3x² + 4x + 5x² + 2x + 7x²

• 8x³ + 8x² + 2x

• 11x³ + 15x² + 8x

• 8x³ + 15x² + 6x

• 23x² + 6x

Which expression is similar to 5x - 4y

when "like" terms are combined?

• 3x - 2x + 3y + 7y

• -3x + 2x + 3y - 7y

• 3x + 2x + 3y - 7y

• 3x + 2x - 3y + 7y

Add the polynomials.

(2x + 5y - 11 ) + (3x - 2y + 12)

• 3x + 5y - 1

• 5x + 3y + 1

• 5x + 7y + 2

• 7xy + xy + 32

Add the polynomials

(3x + 3y – z + 5) + (x – 2y + 4z – 4)

• 3x + y + 3z + 1

• 4x + y + 3z + 1

• 4x² + y² + 3z² + 1

• x + y + z + 1

Find the sum of the polynomials.

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + x² – 3x + 1

• 2x³ + 5x² - 5x + 9

• 6x⁶ + x² - 3x² + 1

• 3x³ + x² - 3x + 1

What is the sum of the polynomials?

(3x - 2) + (3x² + 6x)

• 6x² + 6x - 2

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

Add the polynomials.

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

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

What is the next step in adding the polynomials?

(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• Remove the parenthesis

• Combine like terms

• Add the constants -5 and 8

• Collect like terms

Find the sum.

4x³ - 5x² + 3x

+ -2x³ - x² + 6x

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