1/24 Polynomial Operations

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​The expression -5x+2x-8x is equivalent to nx. What is the value of n?


A) 10
B) 15
C) 11
D)5

Adding and Subtracting- We Do

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Multiple Choice

The figure shown here shows the side lengths of a triangle. What is the perimeter of the triangle.

• 2x+64

• 4x+64

• 3x+28

• 4x+36

Adding and Subtracting- We Do

Which polynomial represents the difference between 6x²+3x-8 and x²-3x+4?


A) 5x²-12
B) 7x²+6x-4
C) 5x²+6x-12
D)7x²-4

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Multiple Choice

Which expression is equivalent to 4x -(3x² +x) +5 -(2x²+1) ?

• -5x²+5x+4

• -5x²+3x+4

• 5x²-4

• 5x²-3x+6

Multiple Choice

Jason ran (2.4x²-0.7x) km. Marcus ran (-1.9x²+3.8x) km. Jason ran farther than Marcus. Which expression represents how much farther Jason ran?

• 4.3x²-4.5x

• 4.3x²-3.1x

• 0.5x²-4.5x

• 0.5x²+3.1x

Multiplying Polynomials- We Do

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Multiple Choice

What is the product of the trinomial x²+8xy-4y² and the monomial -0.5xy?

• -0.5x²y-4xy+2xy²

• -0.5x³y-4x²y²+2xy³

• -2x⁴y⁴

• 0.5x³y-4x²y²-2xy³

A student is building a parallelogram-shaped deck with a case of (4x+3) feet and a height of (3x-2) feet. Which polynomial represents the area of her deck in square feet.

A) (12x²+x-6) square feet
B) (7x+1) square feet
C) (12x²+x-5) square feet
D) (7x²+x-6) square feet

Multiplying Polynomials- We Do

​***REMEMBER: A=bh

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Multiple Choice

Which expression is equivalent to (3n-2)(-n²+2n-3)?

• -3n³+8n²-13n+6

• -3n³+4n²-13n-6

• 3n³-8n²+13n+6

• 3n³-4n²+13n-6

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In complete sentences, describe how we can use our calculator tool to add, subtract, and multiply polynomials.