Vocabulary
An expression with three terms is called a __________
Trinomial
7x + 14y
(c+2)(c+8)
c2 + 10c + 16
d2 + 16d + 64
(d + 8)(d + 8)
The cost of the materials for the inner packaging for of a new product is determined by the expression 10x2 + 8xy + y2. The cost of the outer packaging materials is 4x2 - 3xy + 2. Find the total cost of the packaging.
14x2 + 5xy + y2 + 2
Terms in which the variables or sets of variables are identical even though the coefficients may be different are called ________________
Like terms
(5c + d) + (3c - 2d)
Classify simplified expression by degree and number of terms
8c - d
1st degree binomial
12d3f
25y2 - 49z4
(5y - 7z2)(5y + 7z2)
Last week, Pedro worked 17 hours at the pharmacy, where he earns p dollars an hour, and 12 hours in the supermarket, where he earns s dollars an hour. This week, he worked 8 hours at the pharmacy and 20 hours in the supermarket. What were his earnings during the two weeks, in terms of p and s.
25p + 32s
Greatest common factor is synonymous with _______________ ________________
Monomial extraction
(x2 - 5x +4 ) - (3x2 + 2x - 5)
Classify simplified expression by degree and number of terms
-2x2 - 7x + 9
Second degree trinomial
(-8a3b2)2
64a6b4
9a3b + 18a2b2 - 6a2b3
3a2b(3a + 6b - 2b2)
Write and simplify an expression for the area of each rectangle with a length of 2x and a width of 2x + y + z
4x2 + 2xy + 2xz
The highest exponent of a polynomials monomial term is called its ____________
Degree
(3x4 - 3xy + 6y2) + (y2 - 2x4)
Classify simplified expression by degree and number of terms
x4 - 7y2 - 3xy
4th degree trinomial
-5ab[a - (a2b - 3b)]
5a3b2 - 5a2b - 15ab2
5rt + 20ru + 2st + 8su
(t + 4u)(5r + 2s)
A rectangle has an area of 9v2w and a width of 3v. What is its length?
3vw
A polynomial is in __________ _____ when its terms are in order from the greatest power of its variables to its least power
Standard Form
(25x3y2z + 3x2 - 14y4) - (20x3y2z - x2 + 7y4)
Classify the expression by degree and number of terms
5x3y2z - 21y4 + 4x2
6th degree trinomial
(2-8x)(4 + 7x - 14y2)
112xy2 - 56x2 - 28y2 - 18x + 8
15x2 - 13x + 2
(3x - 2)(5x - 1)
The width of a box is 9in. more than its length. The height of the box is 1 in. less than its length. Write an expression for the volume of the box.
x3 + 8x2 - 9x