Show:
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
Remove parentheses. Identify like terms. Group the like terms together. Add the like terms. Ex. (2x² - 4) + (x² + 3x - 3)
3x²+3x-7
100
Follow the rules for adding signed numbers. Ex. (2x² - 4) - (x² + 3x - 3)
x²+ 3x - 7
100
Combining like terms
What is adding and subtracting polynomials?
200
the sum of two monomials
What is a binomial?
200
the terms 4ab² , -9a²b²
what are not like terms
200
. Add the like terms in each column following the rules for adding signed numbers. Ex. 2x² + 0x - 4 + 3x² + 3x + 2
5x²+ 3x-2
200
Arrange the like terms so that they are lined up under one another in vertical columns. Ex. 2x² + 0x - 4 - (x²+ 3x - 3)
x² + 3x - 7
200
x² - 3x - 1 + 5x² + 3x - 7
6x² - 8
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 - 4) + (x² + 3x - 3)
3x² + 3x - 7
300
(2x² - 4) - (4x² + 3x - 3)
-2x² - 3x - 1
300
(x² - 3x - 1 ) - (5x² + 9x - 7)
-4x² - 12x +6
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
2x² + 0x - 4 + x² + 3x - 3
3x² + 3x - 7
400
2x² + 0x - 4 - (x²+ 3x - 3)
x² - 3x - 1
400
(-6x² - 3x - 1 ) + (8x² + 9x - 7)
2x² + 6x - 8
500
4x² - 2x + 1 exponents of variables decrease from left to right
What is descending order?
500
3x² + 6x²
What are like terms?
500
5x and 7x of the polynomial (5x – 1) + (10x2 + 7x)
What are the like terms?
500
3x² and 2x² of the polynomial (3x² - 1) - (2x² + 7x)
What are the like terms?
500
(-6x² - 7x - 1 ) - (-5x² + 9x - 7)
-x² - 16x + 6