Download Chapter 5-1 Polynomials Monomial: an express that is a number, a

Chapter 5-1 Polynomials
Monomial: an express that is a number, a variable, or
the product of a number and one or more variables
with nonnegative exponents.
Constants: monomials that are real numbers
Real Numbers: the set of rational numbers and the set
of irrational numbers together form the set of real
numbers: 0.10110111…, -1/3, √6, -8/4, etc.
Monomials
Not Monomials
19
x+y
m
x/y
7a²
3a⁻²
13xy
2/y³
1/4abc³
3m/5n
Polynomial:
 is a monomial or the sum and/or differences of
two or more monomials. “Poly” means many.
 Each monomial is a polynomial is called a
“term.”
 Cannot have a variable in the denominator
 Cannot have a negative exponent
Polynomials can be classified by their number of terms
when are in simplest form.
Name:
Number of terms
Examples
Monomial
1(mono means one) 2n, 4x², r, 7, mn, 12x²y³
Binomial
2(bi means two)
3b + p, 2x + 8, 2a² - 6b²
Trinomial
3(tri means three)
4n + b + c, 2x² + 8x – 3
Before you classify a polynomial, be sure it is in simplest form.
x² + 2x + 1 + 3x² - 4x becomes 4x² - 2x + 1 is a trinomial
Classify each expression as a monomial, a binomial, a trinomial, or
not a polynomial.
1)x² - 49
2) √3mn + n³
3) -xy³z
4) x+ 1/x + 1
5) ½b + ⅓b² + ¼b³
6) 19
7) 4uv + 2u²v - uv²
u+v
8) pq³ - 0.6qr + 1.2p³r²
Write each expression as a polynomial in simplest form, and then
classify it.
x(3 – x)
4a + c – 3z – 1
-⅓(x² + 6xy – 2y²)