Consider the graph C in the y-plane given by the polynomial p(x), wherep(x) — ах* + ba + c,b and c are real numbers, with a + 0. It is given that the point (-1,0) lies on C. Further-а,more, it is known that C has a horizontal tangent at (1, –4). Answer the following questions:anda) Set up a system of three linear equations with a, b and c as unknowns.b) Based on a), set up an augmented matrix for the linear system.c) Write the augmented matrix in b) in reduced row-echelon form. Hence, solve a, b and c.Use this information to find the equation of C.

Consider the graph C in the y-plane given by the polynomial p(x), where p(x) = ax? + bx + c, and a, b and c are real numbers, with a 0. It is given that the point (-1,0) lies on C. Further- more, it is known that C has a horizontal tangent at (1, –4). Answer the following questions: a) Set up a system of three linear equations with a, b and c as unknowns. b) Based on a), set up an augmented matrix for the linear system. c) Write the augmented matrix in b) in reduced row-echelon form. Hence, solve a, b and c. Use this information to find the equation of C.

Consider the graph C in the y-plane given by the polynomial p(x), where p(x) = ax? + bx + c, and a, b and c are real numbers, with a 0. It is given that the point (-1,0) lies on C. Further- more, it is known that C has a horizontal tangent at (1, –4). Answer the following questions: a) Set up a system of three linear equations with a, b and c as unknowns. b) Based on a), set up an augmented matrix for the linear system. c) Write the augmented matrix in b) in reduced row-echelon form. Hence, solve a, b and c. Use this information to find the equation of C.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Consider the graph C in the y-plane given by the polynomial p(x), where
p(x) — ах* + ba + c,
b and c are real numbers, with a + 0. It is given that the point (-1,0) lies on C. Further-
а,
more, it is known that C has a horizontal tangent at (1, –4). Answer the following questions:
and
a) Set up a system of three linear equations with a, b and c as unknowns.
b) Based on a), set up an augmented matrix for the linear system.
c) Write the augmented matrix in b) in reduced row-echelon form. Hence, solve a, b and c.
Use this information to find the equation of C.

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