Which polynomial could have the following graph?
2 answers:
Answer:
Step-by-step explanation:
From the given graph, it can be seen that the x intercepts of the graph are
It implies the value of y at the above points must be zero.
[x-intercept is of the form (a,0), where the value of y is zero.]
It implies are the zeroes of the polynomial graphed.
It implies are the factors of the polynomial graphed.
[By Factor theorem]
Thus the polynomials should be : which is the correct polynomial for the given graph.
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Answer:
M
Step-by-step explanation:
A quartic equation/function is a fourth degree polynomial. The general form is:
We can put any values for the variables a, b, c, d, and e.
The general shape of a fourth degree polynomial is in the shape of the English letter "W".
The leading coefficient is the value of "a".
If a is negative, the curve gets upside down, so a "W" going upside down would resemble an "M".
A graph of a quartic with negative leading coefficient is shown attached. The equation is:
