Polynomials

Logic

100

What is the most important rule when adding or subtracting monomials?

Combine like terms.

200

How many terms and degrees does a linear binomial polynomials have?

Two degrees, two terms.

300

Write the following polynomial in standard form. 

3x+7x³-x²

7x³-x^2+3x

400

Classify the following equation by number of terms

2x⁵-6x³-x²+9

Polynomial (4+)

500

What is another word for distribute, and what does the acronym stand for?

FOIL (first outside inside last)

Dividing Polynomials

100

How do you divide a term when there are exponents?

Subtract them.

200

What is the denominator called when it consists of only one term?

Monomial.

300

(10a²-86a+48)-(a-8)

10a - 6

400

Find the quotient of the polynomials. 

(16x⁴+8x³) / (4x²)

4x²+2x

500

Divide this equation using synthetic division 

-3x³+11x²-x+20 by (x-4)

-3x²-x-5

Multiplying Monomials

100

5x²(2x-1) - 2x(3x² - 4x)

4x³ + 3x²

200

Multiply the following polynomials.

(x+3)²

x²+6x+9

300

Find the product of the polynomials.

(x+3)(x²-4x)

x³-x²-12x

400

Find the product.

(x²+3)(x-2)(2x-2)

2x⁴-6x³+10x²-18x+12

500

Simplify the following equation:

8y(y - 4) + 3y(y + 2)

11y² - 26y

Adding/ Subtracting Monomials

100

Find the difference 

(x² - 5x - 2) - (-6x² - 7x - 3)

7x² - 2x - 9

200

Find the sum

(4x² + 3x + 1) + (3x² - 5x - 10)

7x² - 2x - 9

300

Find the sum

(x² + 3x + 1) + (3x² - 5x - 10)

4x² - 2x - 9

400

Solve the equation

(6x² + 2x + 5) + (9x² - 5x - 10)

15x² - 3x - 5

500

What is the difference of the polynomials?

(-2x3y2 + 4x2y3 - 3xy4) - (6x4y - 5x2y3 - y5)

-6x4y - 2x3y2 + 9x2y3 - 3xy4 + y5

Terms

100

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

Monomial

200

When you write the equation with each term in decreasing exponent value, you're using ___________

Standard Form

300

The highest exponent of a polynomial is called the ______?

Degree

400

When the turning point is lower than any nearby point, it's called the ______

Relative Minimum

500

The number in front of the variable with the highest exponent is called the _____

Leading Coefficient