Degree and Type
Degree and Type: 6x2
Degree 2 Monomial
In the following polynomial, the numbers 2, 6 and -4 are all examples of ____________
2x4+6x3-4x+1
Coefficients
If the terms are "like terms" then combine them.
5x + 2x
7x
Put this polynomial in standard form: 1x + 3x2
3x2 + 1x
Combine All Like Terms: 4x + 9 + 3x + 2
7x + 11
Degree and Type: 2x4 + 3x + 5
Degree 4 Trinomial
What is the constant in this polynomial: 2x + 3y - 1
-1 (don't forget the negative)
If the terms are "like terms" then combine them.
3x + 6x3
Not Like Terms (exponents and variable must both match)
Put this polynomial in standard form: 7x + 2x2
2x2 + 7x
Combine All Like Terms: (7x2 + 2x) + (1x2 + 4x + 8)
8x2 + 6x + 8
Degree and Type: -5x3 + 2x2
Degree 3 Binomial
The math word we use to describe the letters used in polynomials is _______________
Variable
If the terms are "like terms" then combine them.
-2x2y + 3x2y
Both Answers are Acceptable
1x2y (not fully simplified)
x2y (fully simplified)
Put this polynomial in standard form: -1 + 3x2 + 4x
3x2 + 4x - 1
Combine All Like Terms: 3x2 + 4 + 2x2 + 5x + 7
5x2 + 5x + 11
Degree and Type: -1
Degree 0 Monomial
How many terms does this polynomial have?
2xy2 + 3x2y - xy +15
4 terms
x2y + xy2
Not Like Terms
(The exponents do not match the variables)
Put this polynomial in standard form: 1 - x
-x + 1
Combine All Like Terms: 7x2 + 4x + 2 + 3x3 + 9x2 + 7
3x3 + 16x2 + 4x + 9
Degree and Type: x3y2+2x2y
Degree 5 Binomial
What is the constant in this polynomial expression?
x2 + 5x
0
(if there is no constant number shown, it is always 0)
Think of it as: x2 + 5x + 0
-7xyz + 7xyz
0xyz
(this is = 0 so in a longer expression we would "cancel" this term, meaning it would disappear completely)
Put this polynomial in standard form: 5x4 - 2x2 - 1 + 4x3 + 7x + 7x5
7x5 + 5x4 + 4x3 - 2x2 + 7x - 1
Combine All Like Terms: (7x3 + 3x) + (4x2 + 9)
What is 7x3 + 4x2 + 3x + 9?