Polynomials

Characteristics of Polynomials

100

The sum or difference of two or more monomials

What is a polynomial

200

The highest exponent in a polynomial

What is the degree of a polynomial

300

Writing the terms of a polynomial from the term with the highest exponent to the term with the lowest exponent

What is standard form

400

The only way to add or subtract polynomials is to combine these

What are like terms. Same variable, same exponent!

500

The reason why we change subtraction problems to addition is this

it ensures that the negative is taken into account in all terms following the subtraction sign

Adding Polynomials

100

Find the sum: (3x+4)+(7x+2)

What is 10x+6

200

Find the sum: (2x²+8x+4)+(x²-3x-2)

What is 3x²+5x+2

300

Find the sum: (4x²+5x+1)+(-2x²+7)

What is 2x²+5x+8

400

Find the sum: (12x³+4x²+7x+8)+(2x³-5x²+2x-10)

What is 14x³-x²+9x-2

500

Find the sum: (5x⁴+3x³-x²+2x+4)+(x⁴-6x³-2x²+6x+7)

What is 6x⁴-3x³-3x²+8x+11

Subtracting Polynomials

100

Find the difference: (6x²+2x+4)-(3x²+x+2)

What is 3x²+x+2

200

Find the difference: (5x²-4x-7)-(2x-9)

What is 5x²-6x+2

300

Find the difference: (4x²+6x+3)-(2x²+2x+2)

What is 2x²+4x+1

400

Find the difference: (7x²-2x+6)-(2x²-5x+4)

What is 5x²+3x+2

500

Find the difference: (2x³-3x²-3x+5)-(x³+2x²-4x+2)

What is x³-5x²+x+3

Adding Polynomials 2

100

Find the product: (x+2)(x+4)

What is x²+6x+8

200

Find the product: (x+3)(x-2)

What is x²+x-6

300

Find the product: (2x-6)(3x-2)

What is 6x²-22x+12

400

Find the product: (4x+2)(x+5)

What is 4x²+22x+10

500

The product of these two expressions is: x²-49

What is (x+7)(x-7)

Subtracting Polynomials 2

100

Find the product: (x-3)(x+7)

What is x²+4x-21

200

Find the product: (x-7)(x-6)

What is x²-13x+42

300

Find the product: (2x-3)(3x+4)

What is 6x²-x-12

400

Find the product: (5x-2)(2x-1)

What is 10x²-9x+2

500

The product of these two expressions is: x²-16x+64

What is (x-8)(x-8)