Defining and naming polynomials
3
When we multiply equations with exponents, what do we do with the exponents?
Add the exponents
You can find the difference of two or more polynomials by ____ like terms
subtracting
What does F.O.I.L stand for?
First, outter, inner, last
You can use the ______ to multiply monomials
distributive property
Why is this expression NOT a polynomial?
2y3 + x2 + x + 1
There is more than one variable
What do we do when we are adding two bases?
example: 4y2 + 3y2
Add the bases
(2y5 +y3 +7y +33) - (4y6 +y3 - 4y2 - 7y -5)
-4y6 + 2y5 + 4y2 +14y + 38
Use the following equations and label which numbers are first, outter, inner, and last
*See student work*
When you multiply x and x2, what is your new exponent?
3
give the degree of this term:
7
0
(3x3 + 2x2) + (2x3 + 4x2)
5x3 + 6x2
( m4 + m2 -5) - ( m3 + m -5)
m4 - m3 + m2 - m
x2 + 6x + 8
(x + 2) ( 8x - 2)
8x2 + 14x - 4
What degree does a variable have? For example: "x"
1
Add the polynomials
(4x4+ 7x3 + 15x2 + 4) ( 4x3 +2x2 + 17x)
4x4 + 11x3 +17x2 + 17x + 4
( x - 6) ( x - 3)
x2 - 9x + 18
(m4 +5) (m3 + m2+ 1)
m7 + m6 + m4 + 5m3 + 5m2 + 5
Classify the expression by its number of terms and the degree.
5x4 + 2x3 + 54
Fourth degree trinomial
Add the polynomials
( 7y5 + 8y2 + 3) + ( 7y5 + y3) + ( -4y2 - y - 3)
14y5 + y3 + 4y2 - y
(2x + 3) ( x -7)
2x2 -11x - 21
(-9x - 2) ( -x6 + 2x2 + 8)
9x7 + 2x6 - 18x3 - 4x2 -72x - 16