PLEASE HELP Factor each expression. Show your work. 2p^3 + 6p^2 + 3p + 9
1 answer:
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Answer:
Step-by-step explanation:
To find the real zeros you must match the function to zero and factor the expression.
We have a polynomial of degree 3.
We try to group the terms to perform the factorization
Now we take (x + 4) as a common factor
If we have an expression of the form we know that this expression is equivalent to:
In this case
So:
Finally:
The solutions are:
The <em>correct answers</em> are:
C) No: we would need to know if the vertex is a minimum or a maximum; and
C)( 0.25, 5.875).
Explanation:
The domain of any quadratic function is all real numbers.
The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.
If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.
There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.
The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).
