Vocabulary
Terms with the same variable raised to the same power.
Like Terms
Simplify. Write your final answer in Standard Form.
(2x2 + 3x + 7) + (5x2 + 4x + 2)
7x2 + 7x + 9
Simplify. Write your final answer in Standard Form.
(4x2 + 5x + 8) - (2x2 + 4x + 3)
2x2 + x + 5
Find the product. Write your final answer in Standard Form.
5x2(4x2 - 3x)
20x4 - 15x3
What are the three methods for multiplying polynomials?
Distribution/Distributive Property, Area Model, and Algebra Tiles
The coefficient of the first term of a polynomial written in standard form.
Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.
(x2 - 6x + 10) + (-x2 + 4x - 8)
-2x + 2
D: 1
LC: -2
Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.
(3x2 + 2x + 8) - (4x2 + x - 8)
-x2 + x +16
D: 2
LC: -1
Find the product. Write your final answer in Standard Form.
(x + 3)(6x - 4)
6x2 + 14x - 12
Which method for multiplying polynomials requires you to draw a rectangle and terms on the outside?
Area Model
The sum of the exponents of the variables used in a monomial.
Degree of a Monomial
Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.
(8x + 4x2 - 1) + (-5x2 - 4x - 1)
-x2 + 4x - 2
D: 2
LC: -1
Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.
(2 - 3x + 4x2) - (9x + x2 - 2)
3x2 - 12x + 4
D: 2
LC: 3
Find the product. Write your final answer in Standard Form.
(2x - 6)2
4x2 - 24x + 36
TRUE OR FALSE:
Depending on the method used to multiply polynomials, you could get a different answer.
FALSE - No matter which method/representation you use, you will get the same answer.
A monomial or a sum of monomials.
Polynomial
Adding Polynomials 400 - See Google Slides for Image
16x - 7
Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.
(2b2 – 6) + (3b + 6) – (b2 + 4b – 7)
b2 - b + 7
D: 2
LC: 1
Multiplying Polynomials 400- See Google Slides for Image
25x2 - 20x units2
Representations 400 - See Google Slides
A, C, D
A constant, a variable, or a product of a constant and variables.
Term
Adding Polynomials 500 - See Google Slides for Image
-5t2s + 3ts2 + 9ts
Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.
(5g2 + 4) - (3g - 12g2 - 2) + (5g3 + g2 - g)
5g3 + 18g2 - 4g + 6
D: 3
LC: 5
Multiplying Polynomials 500 - See Google Slides for Image
9x2 + 9x - 4 units2
Create a problem with polynomial multiplication.
Show TWO ways to solve the problem (distribution, area model, algebra tiles).
Mrs. Loganbill will check each board individually.