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adelina 88 [10]
2 years ago
13

Write a polynomial function for f(2)=0 with a multiplicity of 2 and f(-1)=0

Mathematics
1 answer:
nevsk [136]2 years ago
6 0

We have the following:

Being a multiplicity of two, then we only have to multiply two factors

We must create a polynomial that, like 0, its solution is 2 and that is -1, in the following way

\begin{gathered} x=2\Rightarrow x-2=0 \\ x=-1\Rightarrow x+1=0 \\ \text{ we multiply the factors} \\ (x-2)\cdot(x+1)=0 \\ x^2+x-2x-2=0 \\ x^2-x-2=0 \end{gathered}

Therefore, the answer is the option d.

f(x)=x^2-x-2

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Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?
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Answer:

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Step-by-step explanation:

Given

Options (a) to (d)

Required

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x < a or x \le a

From the given options (a) to (d), only x \le 5 fits the above description.

Other options illustrate an arrow pointing to the right

To further explain this;

Looking at (b), we have:

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This is rewritten as:

x \ge 4 --- the same form as (c) and (d)

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Find the area of △ABC with side lengths b = 6 and c = 17, and included angle A = 135∘. Round your answer to the nearest tenth.
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Answer:

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we know that

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where

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substitute the given values

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