Today you will:
Classify Polynomials
Add and Subtract Polynomials
8.1
Add/Subtract Polynomials
A polynomial is a monomial or the sum of
monomials.
Each monomial is called a term of the polynomial.
The degree of a monomial is the sum of the
exponents of the variables.
Find the degree:
5x2 y
6x
7
4w4 x3 y
The degree of a polynomial is the greatest degree
of any term in the polynomial.
Classifying Polynomials
Polynomial
Degree
4
3x
-4x - 3
3x 2 - 9x
x 2 + 4x - 3
5x 3 - 4x2 + 9
-7x4 + 8x 2
3x5 + 7x4 + 2x3 - 6x 2
-9x6 - 4x3 + 18x
Classified by
Degree
Classified by
Number of Terms
The Leading Coefficient is the coefficient of the
first term when the polynomial is in standard form.
State the leading coefficient:
3x2 + 9x - 7
8x2 - 2x 3 + 3 + 7x
Adding and Subtracting Polynomials
Horizontal method:
(2a2 - 4a + 3) + (6a2 + 9a - 5)
Vertical method:
(2a2 - 4a + 3)
+
(6a2 + 9a - 5)
Horizontal Method:
(7m2 - 3m + 8) (-3m2 - 6m + 1)
Vertical Method:
(7m 2 - 3m + 8)
(-3m2 - 6m + 1)
(5u2 + 3u + 7) - (u3 + 2u2 + 1)
-(5n2 -1) - (-3n2 + 5) - (n 2 - n + 7)
The perimeter of the triangle is
2
16x - x - 7
Write an expression for the length of the
missing side.
5
+
3x
2
x
9x 2 - 7
Write an expression for the perimeter of
the rectangle.
2
5x - 9x + 6
7x3 - 4x + 8