Rubianna Casares 8 05/09/21 12:18 PM College Algebra Math1314.060 Spr2021
Time Limit: 02:30:00 Submit Quiz
Quiz: Quiz for Final Exam Review
This Question: 1 pt
8 of 27 (22 complete)
This Quiz: 27 pts possible
MyLab
My Courses
a. Type the equation in center-radius form.
Use the graph below to determine the equation of the circle in (a) center-radius
form and (b) general form.
Course Home
(Simplify your answer.)
10- (3,9)
Assignments
Q
b. Type the equation in general form.
Chapter Con
(-2.44
18.414
(Simplify your answer.)
Skills for Suc
10
10
e Text
Study Plan
Gradebook
Tools For Suc
Enter your answer in each of the answer boxes.
Multimedia

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.