Monomials, Binomials, and Polynomials
two monomials
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 in the following and simplify:
(x4 + 7x - 6) - (4x4 + 3x - 12)
What -3x4 + 4x +6
The degree of
3x - 5 + 2x3 - 4x2
third degree
What is a monomial?
What is one term
Are these like terms? x² , x , 2ab
No
Add (2x² - 4) + (x² + 3x - 3)
3x² + 3x - 7
(2x² - 8) - (x² + 4x - 3)
x² - 4x - 5
the leading coefficient of -7x2 + 4x - 2
-7
What is the simplest form of polynomials?
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
(2x² + 0x - 4) - (x²+ 3x - 3)
x² - 3x - 1
Implies many terms
What is polynomial?
What is standard form?
Putting terms in descending order of the variable exponents.
Expressions that have the same variable factors are called?
Like Terms
(-2x² - 7) + (-4x² + 3x +2)
-6x² + 3x - 5
(3x² - 1) - (7x² + 7x)
-4x2 - 7x -1
Implies one term
What is monomial?
What is degree?
highest exponent
The title of this unit is
polynomials
(3x2 + 4x - 3) + (-2x2 - 3x -1 )
x2 + x - 4
( 3x2 - 4x -2 ) - ( x2 +3x - 5)
4x2 -7x +3
What does multiplying by a negative one do to a number?
changes the sign