8-1
Find Degree of the monomial
7b9c7
16
Factor out the greatest common factor
6x2+10x
2x(3x+5)
Simplify the product
(x+2)(x+3)
x2+5x+6
Find the product
(x-1)2
x2-2x+1
Factor the expression
x2+7x+12
(x+3)(x+4)
Find the degree of the given term
28
0
Multiply the monomial and the polynomial
5x3(3x+4)
15x4+20x3
Simplify the product using the distributive property
(x−4)(x+6)
x2+2x-24
Multiply using a special product formula.
(a+b)(a-b)=a2-b2
(4x-8)(4x+8)
16x2-64
The area of a rectangular rug is given by the trinomial r2−4r−21. What are the possible dimensions of the rug? Use factoring.
The length and the width of the rectangle are
r-7,r+3
Name the polynomial
x2-6x+7
Quadratic Trinomial
Find the GCF of the terms of the polynomial
15z530x4+6z3
3z3
Use the distributive property to multiply
(y+4)(3y2+5y-4)
3y3+17y2+16y-16
A square green rug has a blue square in the center. The side length of the blue square is x inches. The width of the green band that surrounds the blue square is 6 in. What is the area of the green band?
24x+144in2
Factor the expression
x2+20x+99
(x+11)(x+9)
Add the polynomials
(2x2+9x3-7x+6)+(9x3-2x)
2x2+9x3-7x+6
Factor out the greatest common factor
28x5-21x4+35x
7x(4x4-3x3+5)
Use FOIL to multiply(Must Show Work)
(x+5)(x-2)
x2+3x-10
Find the product
(3-7z)(3+7z)
9-49z2
Factor the trinomial
t2+15tz+50z2
(t+5z)(t+10z)
There is a triangular park and the sides are measured as shown. Label the hypotenuse. The first side is x-4. The second side is 3x+3. What is the length of the hypotenuse?
7x-4
Factor the polynomial
13x4y3+39x5y
13x4y(y2+3x)
The radius of a cylindrical gift box is (2x+3) inches. The height of the gift box is three times the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
The surface area of the cylinder is 32pix2+96pix+72pi
Find the product
(x-3y)2
x2-6xy+9y2
Factor the trinomial
a2-ad-6d2
(a-3d)(a+2d)