Monomials, Binomials, and Polynomials
Like Terms
Adding
Subtracting
Mixed Review
100
the sum of one or more terms
What is a polynomial?
100
the terms 4a²b² , -9a²b²
What are examples of like terms?
100
Ex. (2x² - 4) + (x² + 3x - 3)
3x² + 3x - 7
100
Change the signs of ALL of the terms being subtracted. Change the subtraction sign to addition. Follow the rules for adding signed numbers. Ex. (2x² - 4) - (x² + 3x - 3)
What is the horizontal method?
100
Combining like terms
What is adding and subtracting polynomials?
200
the sum of two monomials
What is a binomial?
200
they can be combined by addition or subtraction
What are coefficients?
200
-2x² + 5x - 14 + x² + 3x - 3
-x² + 8x - 17
200
Arrange the like terms so that they are lined up under one another in vertical columns. Now, change signs of all terms being subtracted and follow rules for add. Ex. 2x² + 0x - 4 - (x²+ 3x - 3)
What is the vertical method?
200
The method of lining polynomials in vertical arrangement.
What is the vertical method?
300
the product of non-negative integer powers of variables
What is a monomial?
300
the terms x² , x , 2ab
What are not examples of like terms?
300
(-2x² - 14) + (7x² + 3x + 3)
What is 5x² + 3x - 11
300
(2x² - 4) - (x² + 3x - 3) -----> x² - 3x - 1
What is 2x² - 4 - x² - 3x + 3 simplified?
300
The method of grouping like terms and solving.
What is the horizontal method?
400
x² + 2x + 1 + 3x² - 4x becomes 4x² - 2x + 1
What is the simplest form of polynomials?
400
-14xy , 14 xy , xy
What are examples of like terms?
400
x² - 6x + 4 + x² + 3x - 3 -----------------
What is 2x² - 3x + 1
400
2x² + 0x - 4 - (x²+ 3x - 3) ---------------- x² - 3x - 1
What is 2x² + 0 - 4 - x² - 3 x + 3 simplified?
400
Implies to many.
What is poly?
500
4x² - 2x + 1 exponents of variables decrease from left to right
What is descending order?
500
monomials that have the same variable factors
What are like terms?
500
(5x² – 1) + (10x³ + 21x² - 7x)
(10x³ + 26x² - 7x - 1)
500
3x² and 2x² of the polynomial (3x² - 1) - (2x² + 7x)
What are the like terms?
500
Implies to one.
What is mono?
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