Vocabulary
A polynomial function with two terms
Binomial
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
(3x7y5)4 =?
81x28y20
The number part of a term
coefficient
(x - 2)(-x2 + 3x + 5)
-x3 + 5x2 - x - 10
A polynomial function with three terms
trinomial
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
7x4y2(6x-2y5)
42x2y7
The number part of the term with the highest degree
leading coefficient
(x – 4) (- 2x2+5x + 9)
-2x3 + 13x2 - 11x - 36
Terms that have the same variables and the same degree are....
Like terms
Add the polynomials:
(x2 +3x + 5) + (-x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
(-13cd8e11d2)2
169c2d20e22
A term with a degree of 0 is called a ________
constant
(2b2 + 7b + 9)(b2 + 3b - 1)
2b4 + 13b3 + 28b2 + 20b - 9
Refers to the highest exponent in a polynomial, or the exponent on a specific term
Degree
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Simplify
(2x^2y^4 4x^2y^4 3x)/(3x^-3 y^2)
Simplify
8x^8 y^6
What do you call a polynomial with 2 terms and a degree of 3
A cubic binomial
(2x - 5)(3x2 -2x +7)
6x3 - 19x2 + 24x - 35
A polynomial whose terms are listed in order of descending degree is in __________
Standard Form
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x2 - 3x) - (x2 -2x + 4)
x2 - x - 4
Simplify
((p m^-1 q^0)^-4 8m^-1 p^6 )/(2 pq^2)
Simplify
(4p m^3) / q^2
What do you call a polynomial with 3 terms and a degree of 1.
Not possible! (Assuming like terms are combined)
(2x2 -2x -3)(2x2 -4x +3)
4x4 - 12x3 + 8x2 + 6x - 9