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 2x²-8?

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)(2x - 7)

What is 10x² - 33x - 7?

400

Write the equivalent expression (x - 1)²

What is x² -2x + 1?

500

Simplify the expression (2x - 3)²

What is 4x² - 12x + 9?

Vocabulary

100

How do you say "x^2"

What is "x-squared" or "x to the 2nd power"

Note: "x two" is not an acceptable answer.

200

How many terms does a binomial have?

What is TWO Terms?

300

How many terms does a Trinomial have?

What THREE terms?

400

How many terms does a monomial have?

What is a ONE term?

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 = x² - 6x + _____.

What is 24?

300

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

What is 25?

400

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

What is 9?

500

Fill in the blank (2x - 3)² -1 = 4x² -12x + ______

What is 8?