Use the x-intercept method to find all real solutions of the equation. x^3-7x^2+4x+12=0
2 answers:
Answer:
a.
Step-by-step explanation:
The given equation is
To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.
The corresponding function is;
The real solutions to , are the x-intercepts of the graph of the corresponding function.
From the graph the x-intercepts are
(-1,0),(2,0) and (6,0).
Therefore the real solutions are
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We have to simplify %
This is a mixed fraction, with 56 as the whole number part and as the fractional part
Such a fraction can be simplified as:
Denominator of simplified fraction = Denominator of mixed fraction
and Numerator of simplified fraction = (Denominator of mixed fraction × Whole number) + (Numerator of simplified fraction)
⇒ Denominator of simplified fraction = 4
and Numerator of simplified fraction = (4 × 56) + (1)
⇒ Numerator of simplified fraction = 225
Hence, the mixed fraction in its simplest form is
Vertex form uses the following formula:
Identify the values of h and k in your function:
The vertex is found with the following point:
The vertex will be found at (-5, -28).
Identify the values of h and k in your function:
The vertex is found with the following point:
The vertex will be found at (-5, -28).