Vocab #1
Vocab #2
Adding and Subtract Polynomials
Algebra Tiles
Multiplying Polynomials
Perimeter and Area
100
A number, variable, or a product of a number and a variable in a polynomial that is separated by an addition or subtraction sign is called a ...
a term
100
The degree of this polynomial:
x3 - 7x2 + 4x5y2 - 19x7y
- 19x7y1
Add the exponents from the variables 7 + 1 = 8
Final Answer = 8
100
Add the Polynomials
(4x - 9) + (x + 4)
5x - 5
100
Add the following polynomials
-x2 + 6x - 1
100
-9x(4x-7)
-36x2+63x
100
Find the perimeter of the rectangle.
(-7x - 3) + (-7x - 3) + (1x+3) +(1x+3)
= (-7x - 7x + 1x + 1x) + (-3 - 3 + 3 + 3)
Final Answer = -12x
200
The number before a variable within a term is called the...
Coefficient
200
Combine like terms and write in standard form
2x - 2 + 3x2 - 5
3x2 + 2x - 7
200
Add the polynomials:
(-3a - 12) + (7a + 5)
4a - 7
200
-5x2 + x - 2
200
(x-3)(x-9)
x2-9x-3x+27
Final Answer: x2-12x+27
200
Find the perimeter of the isosceles triangle.
The tic mark means the sides are the same length.
(2x-4) + (2x-4) + (-3x-7)
Final Answer: x - 15
300
The number in front of the term with the highest degree.
Leading Coefficient
300
A quadratic polynomial has a degree of this.
2
300
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
(-1x2 - 5) + (3x2 + 1x + 8)
Final Answer: 2x2 + x + 3
300
x2 - 7x - 1
300
Multiply the Polynomials:
3x2 (2x5 + 6y)
6x7 + 18x2y
300
What is the area of the rectangle below?
Area = length x width
= (-2x-3)8x
Final Answer = -16x2 - 24x
400
When you add the exponents of each of the variables of each term and found the highest one you found the...
Degree of the term
400
Polynomials are closed under which operations?
Adding 2 polynomials will always result in another polynomial.
Subtracting 2 polynomials will always result in another polynomial.
Multiplying 2 polynomials will always result in another polynomial.
So Adding, Subtracting, and Multiplying are closed
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
Change to addition problem and combine like terms.
(1k2 + 6k3 -4) + (-5k3 - 7k +3k2)
k3 + 4k2 -7k - 4
400
Subtract the Algebra Tiles
x2 - 7x + 1
400
(2x-3)(2x+3)
4x2 +6x - 6x - 9
Final Answer: 4x2 - 9
400
Find the perimeter of a rectangle whose length is (5x - 4) inches and width is (6x + 2) inches
(5x - 4) + (5x - 4) + (6x + 2) + (6x + 2)
Final Answer = (22x - 4) inches
500
Terms that have the same variables and the same degree are called ...
Like terms
500
Which of the following are examples of a monomial?
a) 2x - 3x
b) 3x - 9y
c) 9x2 - 2x
d) 1 + 2 + 9
A) 2x - 3x = -1x
and
D) 1 + 2 + 9 = 12
500
Subtract the Polynomials:
(2x2 - 3x) - (x2 -2x + 4)
Change subtraction to addition
(2x2 - 3x) + (-1x2 +2x - 4)
x2 - x - 4
500
Subtract with Algebra Tiles
-x2 + 10
500
(x-8)2
(x-8)(x-8)
x2 - 8x - 8x + 64
Final Answer: x2-16x+64
500
Find the area of a room that is
(3x - 5)feet by (2x + 1) feet.
(3x-5)(2x+1) = 6x2+3x-10x-5
Final Answer: (6x2 - 7x - 5) ft2