7.5 Factoring trinomials with a leading 1 Homework Day 2

Last updated almost 2 years ago

5 questions

Note from the author:

If a polynomial cannot be factored, write "prime".
If an equation has a repeated root, double root, write the root in both boxes.

Instructions

If a polynomial cannot be factored, write "prime".
If an equation has a repeated root, double root, write the root in both boxes.

MODELING REAL LIFE
A dentist’s office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^{2} + x − 30.

\bold{a)} Write a binomial that represents the width of
the land. (hint: factor the area first)
_______ 

\bold{b)} Find the perimeter of the land when the length
of the dentist’s office is 20 meters.
_______ 

Solve the equation. Do not include the variable in the solution.
n^{2} − 9n + 18 = 0

smaller root _______ 
larger root _______ 

Solve the equation. Do not include the variable in the solution.
x^{2} + 5x − 14 = 0   

smaller root _______ 
larger root _______ 

Solve the equation. Do not include the variable in the solution.
b^{2} + 5 = 8b − 10   

smaller root _______ 
larger root _______ 

MODELING REAL LIFE
You are decorating a parade fl oat for a Cinco de Mayo parade. The area of the entire parade float is 192 square feet. What is the area
covered by paper flowers?
Area of a rectangle:    A = lw

_______ft^2