Monomials, Binomials, and Polynomials
What is a polynomial?
an expression with more than one term is called
Are these like terms? 4a² , -9a²
Yes
Add the like terms. (2x² + 4) + (x² + 3)
3x² + 7
The first step to subtracting binomials is...
What is changing the signs of the second binomial ?
When we use box and circle to separate terms what is that called?
What is combining like terms?
an expression with two terms
What is a binomial?
When combining like terms, what do you do with the coefficients?
They can be combined by addition or subtraction
Add (2x² + x - 4) + (x² + 3x + 5)
3x² + 4x - 1
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?
The method of lining polynomials in vertical arrangement.
What is the vertical method?
What is a monomial?
The product of a number and a variable that make ONE term
Are these like terms? x² , x , 2ab
No
Add (2x² - 4) + (x² + 3x - 3)
3x² + 3x - 7
(2x² - 4) - (x² + 3x - 3) -----> x² - 3x - 1
What is x2-3x-1?
What is 2x² - 4 - x² - 3x + 3 simplified (the answer)?
The method of grouping like terms and solving.
What is the horizontal method?
What is it called when you simply a polynomial?
When you combine like terms.
What is the mistake? x² + 2x - 4x² + 3x = -3x² + 5x²
Do not add the exponents should be -3x² + 5x
(5x² - 6x +2) + (x² + 3x - 3)
6x² -3x - 1
What is 2x² + 0x - 4 - (x²+ 3x - 3) simplified?
What is x² - 3x - 1?
many terms in an expression
What is a polynomial?
True or False: 3x3+2b2-x+5, is a trinomial.
False
What are monomials that have the same variable factors called?
Like Terms
(-2x² - 7) + (-4x² + 3x +2)
-6x² + 3x - 5
How are 3x² and 2x² related in the polynomial (3x² - 1) - (2x² + 7x)
What are like terms?
one term in an expression.
What is monomial?