Which of the following is true about graphing polynomial functions? A. The factor theorem can be used to determine the shape of the graph of the polynomial fun
Mathematics
alexisfleming60
Question
Which of the following is true about graphing polynomial functions?
A.
The factor theorem can be used to determine the shape of the graph of the polynomial function.
B.
The rational zeros theorem and synthetic division can be used to find all of the xintercepts of the graph of the polynomial function.
C.
The real zeros that are found using synthetic division and the division algorithm are xintercepts of the graph of the polynomial function.
D.
The remainder theorem can be used to find the end behavior of the graph of a polynomial function.
A.
The factor theorem can be used to determine the shape of the graph of the polynomial function.
B.
The rational zeros theorem and synthetic division can be used to find all of the xintercepts of the graph of the polynomial function.
C.
The real zeros that are found using synthetic division and the division algorithm are xintercepts of the graph of the polynomial function.
D.
The remainder theorem can be used to find the end behavior of the graph of a polynomial function.
2 Answer

1. User Answers Anonym
The answer is C, Ik this bc I already finished learning this 
2. User Answers oeerivona
A polynomial function can be graphed by determining the defining
characteristics of the graph of the function.
The option that is true about graphing polynomial function is C. The real zeros that are found using synthetic division and the division algorithm are xintercepts of the graph of the polynomial function.
Reason:
The steps Graphing polynomial functions includes;
 Finding the intercepts of the graphs.
 Determining if the polynomial has symmetry.
 Expressing the xintercepts of the polynomial based on the multiplicities of the zeros.
 Analysis of the leading term to determine the graph's end behavior.
 Sketching the graph with the above information of xintercepts, and end behavior.
From the given options, we have;
 The factor theorem is used to find a polynomial's roots (zeros) and to factor a polynomial. Therefore, the factor theorem does not determine the end behavior, and therefore, the general shape of the polynomial function
 The rational zeros theorem gives the form of the rational zeros of a polynomial. Therefore, the rational zeros theorem does not determine the non rational zeros of the polynomial or the graph's
 The remainder theorem specifies that factors of a polynomial gives the zeros of the polynomial, the factor theorem is the reverse of the remainder theorem. It does not determine the end behavior
The zeros of the polynomial gives the xintercept of the polynomial
Therefore, the option;
 The real zeros that are found using synthetic division and the division algorithm are xintercepts of the graph of the polynomial function, is true
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