Predicting the next item in a pattern is an example of inductive reasoning.
2 answers:
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We want to find an equation for the given solutions and the multiplicity of each solution.
The equation is:
First, assume that we have a given equation and we know that we have solutions {x₁, x₂, ..., xₙ}, each one with multiplicity {m₁, ..., mₙ}.
The equation, of a polynomial that meets these requirements, is given by:
Where A is the leading coefficient and can be any real number.
Now that we know that, here we have the solutions:
- x = 2 with multiplicity 2
- x = -1 with multiplicity 2
We don't have information about the leading coefficient, so we assume it is equal to 1.
Then the equation is:
If you want to learn more, you can read:
Answer:
3 is the missing value
Step-by-step explanation:
Given
Required
Complete the blank
The model is not given; but the question can still be solved.
We have:
Add 8 to 4
Add 24 to 12
Divide both sides by 12
Rewrite as:
Hence, the blank will be completed with 3