Answer:
Step-by-step explanation:
We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.
First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.
Hence, we will have the three factors:
Where <em>a</em> is the leading coefficient.
Expand and simplify the second and third factors:
Hence:
Since f(-1) = 30:
In conclusion, third degree polynomial function is:
The property of real numbers that was illustrated in the above example is known as the: D. inverse property.
<h3>What is the Inverse Property of Real Numbers?</h3>
The inverse property of real numbers states that if you add the opposite of a number together with that number, the result would be zero.
For example, if "a" represents a number, the opposite of the number "a" is -a.
Applying the inverse property of real numbers, it states that: a + (-a) = a - a = 0. Both numbers will cancel each other to give zero.
In the same vein, as shown in the image given above:
6 is a number
The opposite of 6 is -6.
Applying the inverse property of real numbers, we have:
6 + (-6) = 0.
In conclusion, we can state that given the expression, 6 + (-6) = 0, the property of real numbers that was illustrated in the above example is known as the: D. inverse property.
Learn more about the inverse property on:
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36÷4. 4 goes into 36, 9 times. Do your check work, which would be 9x4=36√. Hope that helps!
H = 5 + ut - 16t^2
When the balls falls back to the ground, h = 0
0 = 5 + 3.2u - 16(3.2)^2
0 = 5 + 3.2u - 163.84
0 = 3.2u - 158.84
3.2u = 158.84
u = 158.84/3.2 = 49.6 ft/s
Required equation is
h = 5 + 49.6t - 16t^2
First we rearrange by using the definition of between.
AB=x+10, BC=x+14, AC=22
Given that AB+BC=AC, we can solve for X
(X+10)+(X+14)=22
X+10+X+14=22
2X+24=22
2X+24-24=22-24
2X=-2
2X/2=-2/2
X= -1
