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Addition of Polynomials
Subtraction of Polynomials
Multiply Monomials
Subtracting
Mixed Review
100
(4x^2 + 2x) + (x^2 + 6x)
5x^2 +8x
100
(y^2 - 10xy) - (2y^2 + 3xy)
-y^2 -13xy
100
Remove parentheses. Identify like terms. Group the like terms together. Add the like terms. (6x^2)(5x)
30x^3
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
(-3y^2 + y) + (4y^2 + 6y)
y^2 +7y
200
(2x^2 + 5x - 3) - (3x^3 + 2x - 5)
-3x^3 + 2x^2 +3x + 2
200
(x^2yx)(x^2y^4)
x^4y^5z
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
(2a^2 - 7a + 10) + (a^2 + 4a + 7)
3a^2 -3a +17
300
(-3a^2 - 2a) - (4a^2 - 4)
-7a^2 - 2a + 4
300
(x^2y)(yz)(xyz)
x^3y^3z^2
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
(7 - 5r + 2r^2) + (3r^3 - 6r)
3r^3 + 2r^2 -11r + 7
400
(4x^3 + 5x + 2) - (1 + 2x - 3x^2)
4x^3 + 3x^2 +3x + 1
400
(3ab^2)(-2abc)(4ac^2)
-24a^3b^3c^3
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
(5r^3 - 6r^2 +3r) + (-3 -2r + r^2)
5r^3 - 5r^2 + r - 3
500
(4 - x - 2x^2) - (-2 + 3x - x^3)
x^3 - 2x^2 - 4x + 6
500
(3a^2b)(-6bc)(2ac^2)
-36a^3b^2c^3
500
3x² and 2x² of the polynomial (3x² - 1) - (2x² + 7x)
What are the like terms?
500
Implies to one.
What is mono?