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6.1: Polynomials
6.2: Multiplying Polynomials
6.3: Dividing Polynomials
6.4: Factoring Polynomials
6.5: Roots
100
These are numbers or a product of numbers and variables with whole number exponents. Such as 3x, y, or 7ab.
What are MONOMIALS?
100
We use this property to help multiply polynomials to each other.
What is the DISTRIBUTIVE PROPERTY?
100
This is the term for the result of a long division problem.
What is the QUOTIENT?
100
These are the 3 different methods for Factoring discussed in Lesson 6.4.
What are Grouping, Sum of 2 Cubes, and Difference of 2 Cubes?
100

Roots are another name for these (3 answers)

Zeros, x-intercepts, solutions

200

This is the sum or difference of many monomials. For example, 3x + 2y - 8z +4.

What is a POLYNOMIAL?

200
This is the product of (4y^2) and (y^2+3).
What is (4y^4 + 12y^3)?
200

The result after dividing (x^4 - 5x^2 +4) by (x - 1)?

What is x^3 + x^2 - 4x -4?

200
When you factor the expression x^3 + 3x^2 - 4x - 12 by grouping, you find these.
What are (x + 3), (x+2), and (x -2)?
200
The polynomial 3x^5 + 18x^4 + 27x^3 = 0 intersects the x axis at these values of x.
What are -3 and 0?
300
This is the standard form, leading coefficient, degree, and name of the polynomial by degree and number of terms of the following expression: 15 - 150x^2 + 100 - 25x^5 - 1500
What are: (-25x^5 - 150x^2 - 1385), -25, 5th degree, and a quintic trinomial.
300

This is the solution to (4x - 5)(2x^5 + x^3 - 1)

What is 8x^6 - 10x^5 + 4x^4 - 5x^3 - 4x + 5

300
This form of polynomial division uses only the coefficients of the dividend and the root of the divisor.
What is Synthetic Division?
300
You find these two factors when adding (4x^4) and (108) together.
What are (4x), (x + 3), and (x^2 - 3x +9)?
300
It says in your text book that if a root of a polynomial has a root with an even multiplicity, it does this to the x-axis.
What is it bends and crosses?
400
This is the sum of (x^2 - 3x + 4) and (x^3 + 6x - 4).
What is (x^3 + x^2 + 3x)?
400
This is the expanded expression of (x - 2)^5 in standard form.
What is (x^5 -10x^4 + 40x^3 -80x^2 + 80x -32)?
400
If you divide (x^4 + 6x^3 + 6x^2) by (x + 5), you get this result.
What is (x^3 + x^2 + x - 5 + 25/(x+5)?
400

When you factor (125x^3 - 8), you end up this

What are (5x - 2) and (25x^2 + 10x + 4)?

400

These are the roots of the polynomial x^3 + 3x^2 - 10x - 24. 

What are 3, -2, and -4?

500
This is the difference of (x^2 - 3x + 4) and (3x + x^3 - 4)
What is -x^3 + x^2 - 6x + 8?
500
These are the polynomial expression and the area of a rectangular swimming pool with sides (x + 23) and (x + 8) where x = 2 yards.
What is (x^2 + 31x + 184), and 250 sq yds?
500

DAILY DOUBLE!!!! This is the area of side of a rectangular prism that has height x+ 2 and volume x^3 - x^2 - 6x.  

What is x^2 - 3x?

500
When a rectangular prism has the volume V = x^3 - 8x^2 + 19x - 12, these are the measurements of the height, width, and length when x = 5.
What are 4, 2, and 1?
500

These are all of the roots of the polynomial x^3 - 4x^2 +9x - 36 = 0.

What are 4, 3i and -3i?