Vocab
Polynomial
Multiple Parts
Like Terms have
Same variables,
Same exponents
5x
Monomial
2xy+5xy (if you can simplify, simplify first)
7xy - Monomial
5x+9x
14x
Monomial
One Part
Subtracting a group is the same as
Adding that group times -1
2x^2+7y
Quadratic
Simplify (if you can simplify, simplify first)
3x-2x-9y
x-9y (binomial)
4y^2 + 2y^2 + 7y^2
13y^2
Means 3 terms
Trinomial
What is standard form?
Terms written from biggest to smallest exponent
4x+3x^2+7x^3
Cubic
Simplify: (if you can simplify, simplify first)
(8x^3)+(2x^2)+(3x^3)+(x)+(2x)
(11x^3)+(2x^2)+(3x)
Trinomial
(4 + 2n^3) + (5n^3 + 2)
7n^3 + 6
What is a degree
Exponent/Power
In a polynomial with multiple variables, to get the degree, you need to
add the exponents of all variables in a term
5x^2+3yz+2m+9
Quadratic
How many terms?
(3x^4)+(8x^2)+(11x^7)
3 - trinomial
(−10k2 + 7k + 6k^4) + (−14 − 4k^4 − 14k)
2k^4 −10k^2 −7k−14
What term is usually used to refer to polynomials with 4 or more terms
Polynomial
How can you identify how many terms are in a polynomial?
They are separated by addition and subtraction signs
7x4+5x3+2x2
Quartic
How many terms?
5x^2 + x^8 + 3xy^3 + 9y^7
4 - polynomial
(14p^4 + 11p^2 − 9p^5)−(−14 + 5p^5 −11p^2)
−14p^5 + 14p^4 + 22p^2 + 14