Terms and Degree
What is the degree of this monomial?
4x2yz
4
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom? Area = lw
x2+x-20
Factor v2 − 7v + 10
(v-5)(v-2)
(x + 6) (x + 3)
x2 - 3x - 18
What is the degree of this polynomial?
9x2+ 5xy3 - 83
4
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
The cost (in dollars) of making b bracelets is represented by 4 + 5b. The cost (in dollars) of making b necklaces is 8b + 6. Write a polynomial that represents how much more it costs to make b necklaces than b bracelets.
3b + 2
a2 + 11a + 18
(a+9)(a+2)
(3x - 4)(2x + 5)
6x2 + 7x - 20
What is the degree of this monomial?
8
Subtract the Polynomials:
(2x2 - 3x) - (x2 -2x + 4)
-x2 + x - 4
A painter must add the areas of two walls to determine the amount of paint needed. The area of the first wall is modeled by 4x2 + 12x + 9, and the area of the second wall is modeled by 36x2 – 12x + 1. Write a polynomial that represents the total area of the two walls.
40x2+10
Sove for x:
x2 − 15x + 50 = 0
(x-10)(x-5)
(y + 9) (y + 9)
y2 + 18y +. 81
Write this polynomial in standard form:
90 + x - 7x4 + x2
-7x4+x2+x+90
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
The area (in square meters) covered by a building can be represented by x2 + 7x - 30
Find the perimeter of the building when x = 15 meters.
74
Solve for x:
a2 − a − 70 = 20
(a-11)(a+10)
(x - 12)(x + 12)
x2 - 144
Write an example of a polynomial with 4 terms and degree of 3
Answers vary
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
The area of a rectangle is 120 feet2. It's dimensions are x and (x-14).
What are the exact dimensions of the rectangle?
20 and 6
Challenge:
5v2 − 30v + 40
5(v-2)(v-4)
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4