Classifying
A 2nd degree polynomial with 3 terms.
Quadratic Trinomial
What does it mean to distribute? Give an example if it helps you explain.
Multiplying a group of terms (polynomial) by a group or single term (polynomial). 5(x+4) = 5x+20
Basically polynomial multiplication.
36x3y+48x2y-121xy
12xy(3x2+4x-11)
Define a term.
A monomial consisting of numbers and/or variables.
(6y^5)/(3y^2)
2y3
Give me an example of a constant monomial that is divisible by 3.
9, 51, etc
24x2(x - 3)
24x3 - 72x2
81x4-16
(9x2+4)(3x-2)(3x+2)
True or False: Distributing is the opposite of factoring
True
(x^2-6x-16)/(x-2)
x+8
Classify 1001x3
Cubic Monomial
5ab(9a2-7b+20x)
45a3b-35ab2+100abx
w2-3w-28
(w-7)(w+4)
Define trinomial.
An expression with 3 terms that add or subtract.
x2 divided by x4
1/(x^2)
Give me an example of a Quadratic Binomial.
x4-25
(9x-3)2
81x2-54x+9
12x2-5x-2
(4x+1)(3x-2)
Define a GCF.
The highest constant or variable term factor that two or more terms have in common.
(3y^2+25y-18)/(3y-2)
y+9
Give me an example of a Quartic Binomial. Wheel spin if it is factorable.
x4-9
(2x2+5x-6)(x2-2x+12)
2x4-9x3+8x2+72x-72
2x3+7x2-2x-7
(x+1)(x-1)(2x+7)
Define a polynomial.
An expression made of terms that contain variables, coefficients, and constants.
Use long division:
(2x^3+5x^2-4x+2)/(2x+1)
x2+2x-3+5/2x+1