Two solutions of the polynomial equation are given. Use synthetic division to find any remaining solutions.
1 answer:
Answer:
The remaining solutions are -7 and 3.
Step-by-step explanation:
The synthetic division is shown in the attachment. After dividing the first two found factors from the polynomial, the remaining quadratic is ...
x^2 +4x -21 = 0
Its rational roots will be factors of -21, and the sum of their opposites will be 4. Knowing that 21 = 3·7, we can guess that the remaining roots are -7 and 3. The synthetic division confirms that. (A graph also confirms it.)
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Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees