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
When combining like terms, what do you do with the coefficients?
They can be combined by addition or subtraction
200
Add
(2x² + x - 4) + (x² + 3x + 5)
3x² + 4x - 1
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
What is a monomial?
The product of non-negative integer powers of variables
300
Are these like terms? x² , x , 2ab
No
300
Add
(2x² - 4) + (x² + 3x - 3)
3x² + 3x - 7
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
What is the simplest form of polynomials?
When you combine like terms.
400
What is the mistake?
x² + 2x - 4x² + 3x = -3x² + 5x²