Answer:
Step-by-step explanation:
A polynomial function is given by the form:
Where a is the leading coefficient, and <em>p</em> and <em>q</em> are the roots (more can be added if necessary).
Our zeros are 3 and (-2 + 2i).
And our leading coefficient <em>a </em>= 1.
Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.
So, by substitution, we acquire:
Simplify:
Expand the second and third factors:
Therefore, our polynomial function of least degree and the given zeros will be:
Answer:
true
Step-by-step explanation:
Because it is
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
Answers:
Experimental probability = 5/12
Theoretical probability = 5/36
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Explanation:
The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12
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The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.
There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6
- 1+5 = 6
- 2+4 = 6
- 3+3 = 6
- 4+2 = 6
- 5+1 = 6
There are five ways to add to 6, out of 36 outcomes total.
This means the theoretical probability of getting a sum of 6 is 5/36
