Introduction to Chapter 5

Terms & Definitions

100

A number, variable, or a product of numbers and variables.

What is a monomial?

200

The sum or difference of many monomials.

What is a polynomial?

300

The standard form of a quadratic equation.

What is ax² + bx + c = 0?

400

The standard form of a polynomial function.

What is a_nxⁿ + a_n-1x^n-1 + ... + a₁x¹ + a₀?

500

The highest exponent of a polynomial.

What is the degree?

Simplifying Polynomial Equations

100

Simplify.

5x² * -7x⁶

What is -35x⁸?

200

Simplify.

(-2a³b)² * 8ab⁹

What is 32a⁷b¹¹?

300

Simplify.

((54m⁶n⁴) / (3m²n)) - 10m⁴n³

What is 8m⁴n³?

400

Simplify.

2k⁴ * 10k^-7

What is 20/(k³)?

500

Simplify.

(((2/3)r²s⁷)²) * ((1/6)r³s)

What is (1/9)r⁷s¹⁵?

Classifying Polynomials

100

Classify by degree and number of terms.

x+4

What is a linear binomial?

200

Classify by degree and number of terms.

4x²

What is a quadratic monomial?

300

Classify by degree and number of terms.

4x³ - 2x² + x

What is a cubic trinomial?

400

Classify by degree and number of terms.

2x⁴ + 5x²

What is a quartic binomial?

500

Classify by degree and number of terms.

-x⁵ + 4x² +2x + 1

What is a quintic polynomial?

Standard Form & Formulas

100

The Quadratic Formula.

What is x = (-b +/- (sqrt(b²-4ac))) / 2a ?

200

The formula for completing the square.

What is c = (b/2)²?

300

Write the polynomial in standard form.

-k⁵ - 1 + 8k - 3k³ + ((1/4) k²)

What is 

-k⁵ - 3k³ + ((1/4) k²)+ 8k - 1 ?

400

Write the polynomial in standard form.

18a²b² + 7ab - b² +4a³

What is 

4a³ + 18a²b² - b² + 7ab?

500

Write the polynomial in standard form.

5xy² - x² + 9x³y - y⁴ + 2

What is 

9x³y - x² + 5xy² - y⁴ + 2?