Answer: The required polynomial of lowest degree is 
Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.
We know that
if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).
So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.
Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.
This implies that (x - 5i) is also a factor of the given polynomial.
Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by
Thus, the required polynomial of lowest degree is
So, 30 is the perimeter. We are told the table is twice as long as it is wide.
So, we have think of 2 numbers, one being twice as big than the other. So, it is a rectangle The two number represents the length and the width. To find the perimeter we add all the lengths and the widths. Since the pool table is a rectangle we have two lengths and two widths.
So,
the tow numbers be 10 and 5. 5 is half of 10 and, when multiplied by 2 it is 10. So just to make sure the numbers 5 and 10 work out lets do a calculation.
So,
10+5+10+5 = 30feet. This proves that the sides are these two numbers.
7/6-____=2/3
2/3-7/6 =-x
-1/2=-x
The negatives cancel out so the blank = 1/2
Answer:
14x
Step-by-step explanation:
<em>You have two like terms (numbers with the same letter) so you are going to put those aside for a moment.</em>
<u>Add 5+7+2 </u>and you get 14.
Then, You put the unknown number (x) just beside the 14 to know you are <u>multiply</u>ing <u>x by 14</u> until you find the value.
14x <em>Is your answer</em>
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