Classify
What is the leading coefficient?
x2 + 8x – 4
1
Simplify the expression. Write your answer in standard form.
4n4 + 4n3 + 7n4 - 1 + 7n4 - 1
18n4 + 4n3 - 2
2x2y(5x – 3xy + 7y2)
10x3y – 6x3y2 + 14x2y3
(40x2 – 30x) / 10x
4x – 3
Perimeter or Area?
Monique wants rip out the carpet in her living room and install wood floors.
Area
Is the following a polynomial? If no, give a reason.
2x3/2
No, fraction exponent
Simplify the expression. Write your answer in standard form.
(n + n4 - 6) - (5n2 - 8n + 4)
n4 - 5n2 + 9n - 10
(7m – 2n)(8m + 3n)
56m2 + 5mn – 6n2
(k2 + k – 2) / (k - 1)
k + 2
A room has a length of 3x feet and a width of x – 2 ft. Write a simplified expression to represent the area
3x2 – 6x
Is the following a polynomial? If no, provide a reason why.
1/x + 2x^2 + 3x -5
No, can't have a variable in the denominator.
Simplify the expression.
2xy3 + 2x3y + 4x3y - 5xy3 + 5x3y - 4xy3
-7xy3 + 11x3y
(2p + 4)2
4p2 + 16p + 16
(6m2 + 58m + 36) / (m + 9)
6m + 4
A room has a length of 2x - 1 feet and a width of 5x – 2 ft. Write a simplified expression to represent the area
10x2 - 9x + 2
Classify the following by degree and # of terms
4x5 – 3x3 + x
5th degree trinomial
(7u2v3 – 2uv – 8v3) – (8v3 – u2v3 + 5uv)
8u2v3 – 16v3 – 7uv
(2x + 5)2 - 3
4x2 + 20x + 22
(36x2 – 12x – 35) / (6x – 7)
6x + 5
A room has a length of (4x - 3) feet and a width of (7x + 4)(x - 2) ft. Write a simplified expression to represent the perimeter
14x2 - 12x - 22
Classify the following by degree and # of terms
12x2y - 4x3y2z + 9xy3z
6th degree trinomial
(–2r – 8 + 6r3) + (6r2 – 6r3 – 8r) – (7 – 4r2)
10r2 – 10r – 15
(7n – 2)(6n2 – 8n – 1)
42n3 - 68n2 + 9n + 2
(8x3 + 16x2 – 22x – 30) / (4x – 6)
2x2 + 7x + 5
Joey wants to install new tile in his kitchen. It has a length of (4x - 3) feet and a width of (7x + 4)(x - 2) ft. Write and simplify an equation he can use to calculate how much of the materials he needs.
28x3 - 61x2 - 2x + 24