PEMDAS Polynomials
Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications
100
3x(2x - 1) - 7x
6x2 - 10x
100
Determine the degree of the following polynomial:
-3x^2+5x-1
Degree: 2
100
Add the following polynomials. Write your final answer in standard form.
(4x^2+4)+(19x^2-7)
23x^2-3
100
Multiply the polynomials. Write your final answer in standard form.
-3x(2x^2+4)
-6x^3-12x
100
Write an expression for the area of a parallelogram where the base is 2x+3 and the height is 5x+8. (Hint: A=bh)
10x2 + 31x + 24
200
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
200
Is the following polynomial a monomial, binomial, or trinomial?
2xy-3x^2y
Binomial
200
Add the following polynomials. Write your final answer in standard form.
(13x^2y-2x+1)+(9x^2y-7)
22x^2y-2x-6
200
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)
54x^2+24x+2
200
Determine the perimeter of the triangle and write the answer in standard form.
2x^2+9x+2
300
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
300
Classify the polynomial by its degree and the number of terms:
-4x^4+3x^2-x
Quartic (degree of 4) Trinomial
300
Add the following polynomials. Write your final answer in standard form.
(-x^3+8x^2-5)+(10x^3-x^2+1)
9x^3+7x^2-4
300
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x-4)
49x^2-16
300
Determine the perimeter of the figure in terms of z. Write your final answer in standard form.
90z+176
400
Determine the area of the shaded region.
66x^3+40x^2+24x
400
Classify the polynomial by its degree and the number of terms:
3x^2-x
Quadratic (Degree of 2) binomial
400
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
400
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
400
Hilary draws chalk hopscotch squares with side lengths x+8. Write an expression to represent the area of one square.
x2 + 16x + 64
500
5x + (2x - 1)2 - (x + 8)2
3x2 - 15x - 63
500
Classify the polynomial by its degree and the number of terms:
-2x^2+4y-3y^3+1
Cubic (degree of 3) Polynomial
500
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
500
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30
500
A square is located inside of a circle. The circle has an area of 14x2 - x + 19 units2. If the square has an area of 9x2 - 5x + 7 units2, write an expression to represent the area remaining in the circle that is not taken up by the square.
5x2+4x+12