The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)
What is the common factor that is missing from both sets of parentheses?
2 answers:
Answer:
The factor that is missing from sets of parenthesis is
Step-by-step explanation:
The given polynomial is
We can rewrite this polynomial as
This polynomial can be factored by making groups as shown below
Now, we take GCF from each group.
From the first group we take 4x common
From the second group we take -9 common
We can see that the factor that is missing from sets of parenthesis is
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A dilation is a transformation 
, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
In a dilation of
, the scale factor, 
is mapping the original figure to the image in such a way that the
distances from O to the vertices of the image are half the distances
from O to the original figure. Also the size of the image is half the
size of the original figure.
Therefore, <span>If is a dilation of △ABC, the truth about the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.
The distance from A' to the origin is half the distance from A to the origin.</span>
In a dilation of
Therefore, <span>If
<span>AB is parallel to A'B'.
The distance from A' to the origin is half the distance from A to the origin.</span>