Exponent Rules
Classifying Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications
100
Use the product rule for exponents to multiply:
4x3*5x2
20x5
100
Determine the leading coefficient of the following polynomial:
-3x2+5x-1
Leading Coefficient: -3x2
100
Add the following polynomials. Write your final answer in standard form.
(4x2+4)+(19x2-7)
23x2-3
100
Multiply the polynomials. Write your final answer in standard form.
-3x(2x2+4)
-6x3-12x
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.
2x2+9x+2
200
Use the quotient rule for exponents to divide:
(x2y5)/(xy3)
xy2
200
Is the following polynomial a monomial, binomial, or trinomial?
2xy-3x2y
Binomial
200
Add the following polynomials. Write your final answer in standard form.
(13x2y-2x+1)+(9x2y-7)
22x2y-2x-6
200
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)
54x2+24x+2
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
Use the power rule to simplify:
(4x2yz3)2
16x4y2z6
300
Classify the polynomial by the number of terms and determine the leading coefficient:
-4x4+3x2-x
Trinomial
Leading Coefficient: -4x4
300
Add the following polynomials. Write your final answer in standard form.
(-x3+8x2-5)+(10x3-x2+1)
9x3+7x2-4
300
Multiply the polynomials. Write your final answer in standard form.
(4x-1)2
16x2-8x+1
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.
5x2+24x
400
Use the quotient rule and the negative exponent rule to simplify:
(2x2y4)/(8x5y5)
(1)/(4x3y)
400
Classify the polynomial by the number of terms and its leading coefficient:
3x2-x
Binomial
Leading Coefficient: 3x2
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.
(7x+4)(7x-4)
49x2-16
400
Recall that area of a rectangle is length times width. Determine the area of the shaded region in terms of x.
x2+8x+7
500
Use the exponent rules to simplify:
(x3y4)3*(3xy2)2
9x11y16
500
Classify the polynomial by its leading coefficient and the number of terms:
-2xy2+4xy-3y2+1
Polynomial with 4 Terms
Leading Coefficient: -2xy2
500
Subtract the following polynomials. Write your final answer in standard form.
(x2-x+4)-(x2+x-2)
-2x+6
500
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x2-x+6)
6x3-17x2+17x-30
500
Determine the area of the shaded region.
66x3+40x2+24x