Vocabulary
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications
100
How many terms are in a trinomial?
Three
100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
100
Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the triangle and write the answer in standard form.
2x^2+9x+2
200
What is the DEGREE of 2x4+9x3-5x2+6
4
200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200
(2x-5)(3x+2)
6x2-4x-10
200
Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the figure in terms of z. Write your final answer in standard form.
90z+176
300
How many terms are in this polynomial? 4y5+6xy-3x2
Three
300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300
(2x-4)-2(4x-2)
-6x
300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300
Find the area of each figure in terms of x. Then, write a simplified polynomial describing the total area of the rectangles and squares combined.
5x^2+24x
400
Write an example of a polynomial with 4 terms and degree of 3.
Ms. Kern will check!
400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400
(2x2-4x+6)(x2+5x-2)
2x4+6x3-18x2+38x-12
400
Recall that area of a rectangle is length times width. Determine the area of the shaded region in terms of x.
x^2+8x+7
500
Like terms need to have...(two things!!)
1. Same variables
2. Same exponents
500
(5x3+4x2-2x+2)+2(2x3-2x2+x+5)
9x3+12
500
(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)
2x3+10x2-14x+15
500
Ms. Deeming 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?
x2+x-20 square ft
500
Determine the area of the shaded region.
66x^3+40x^2+24x