Polynomials
Need To Know
Recall like terms
Some new vocabulary
Like Terms and polynomials
Evaluate polynomials
Like Terms
RECALL:
Definition – a term is a part of a mathematical expression
made of numbers and variables often combined with
parentheses, multiplication or division.
Definition – Like terms _________________________________
________________________________________________________
New Vocabulary
Definition– A polynomial is a finite sum of terms.
Examples:
| Monomials | Binomials | Trinomials | No Special Name |
New Vocabulary
Definition– The degree of a _____ is the number of
_________________________. (If there is only one
variable, then the degree is the exponent.)
Definition– The degree of a __________ is the
degree ___________________, and the leading
term is the term with the highest degree.
Definition– The ____________________ is the
numerical factor of the term.
Practice Vocabulary
Answer each for the given polynomial.
The terms
The coefficients
The degree of the terms
The leading term
The degree of the polynomial
Combining Like Terms
Recall
3x+ 6x
Combine like terms:
1. 7x2 + 3x + 5x2
2. 9b5 + 3b2 –2b5 –3b2
3. 8x5 – x4 + 2x5 + 5x4 – 4x4 – x6
Evaluating Polynomials
Find the value of 2x2 – x + 3 when x = -3
Application with Polynomials
Gigabyte Electronics estimates that the total
cost of producing x monitors is given by:
4000 + 0.6x2
What is the total cost of producing 200 monitors?