Operations on Polynomials

Adding Polynomials

100

Add (x²-2x-5)+(3x²+9x-6)

What is 4x²+7x-11?

200

Simplify (15x²-4x+8)+(-6x²+4x+13)

What is 9x²+21 ?

300

The expression that is equivalent to

(x²+8)+(-3x²+6x-18) in simplest form. 

 What is -2x²+6x-10?

400

Simplify x²+7x-1+(x²-6x)+(x+7)

What is 2x²+2x+6?

500

(2x²+6y²-x)+(x²+5x-9y²-2y)

What is 3x²-3y²+4x-2y?

Subtracting Polynomials

100

SUbtract (15x²+8)-(-6x²+13)

What is 21x²-5?

200

Simplify (x²-2x-5)-(3x²+9x-6)

What is -2x²-11x+1?

300

Subtract (15x²+8)-(-6x²+4x+13) 

What is 21x²-4x-5?

400

Write the equivalent expression 4x²+16x-(x²-6x+7) 

What is 3x²+22x-7 

500

Simplify x²+7x-1-(x²-6x)-(x+7)

What is 12x-8?

Multiplying Binomials

100

Multiply (x + 2)(x - 2)

What is x² - 4?

200

Simplify (x + 3)(x - 5).

What is x² -2x -15?

300

Simplify (5x + 1)²

What is 25x² +10x + 1?

400

Write the equivalent expression 2(x - 1)²

What is 2x² -4x + 2?

500

Simplify the expression (2x - 3y)²

What is 4x² - 12xy + 9y²?

Vocabulary

100

A polynomial with two terms is called this.

What is a binomial?

200

A polynomial with three terms is typically called this.

What is a trinomial?

300

The translation is "many terms".

What is a polynomial?

400

A polynomial with only one term.

What is a monomial?

500

Non-negative integers describes this part of a polynomial.

What are the exponents?

Fill in the blank/s

100

Fill in the blank (x+9)² = x² +18x +______

What is 81?

200

Fill in the blank (x - 3)² + 15.

What is 24?

300

Fill in the blank (2x - 5y)² = 4x² -20xy +______

What is 5y²?

400

Fill in the blanks: (3x + 1)² = ____x² + 6x + _____

What are 9 and 1?

500

Fill in the blank 4(2x - 3)² -1 = 16x² -48x + ______

What is 35?