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galina1969 [7]
4 years ago
9

Write a quadratic trinomial with the following solutions: x=-2 and x= 5/3

Mathematics
1 answer:
Masja [62]4 years ago
5 0
Hello there!

To write a quadratic trinomial with given solutions, just write two linear factors that equal to solutions when set equal to zero then multiply it out!

We are given -2 and 5/3 as solutions for the quadratic function so we can set up factors like this: (x+2)(3x-5). Now we need to multiply this out...
(x+2)(3x-5)
3x²-5x+6x-10
3x²+x-10

y=3x²+x-10 is the answer to your question!

I really hope this helps!
Best wishes!
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===========================================================

Explanation:

For any two vectors defined as follows

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If the dot product of the vectors is 0, then the vectors are orthogonal. Meaning they are perpendicular to one another.

-------------------

Let's find the dot product of these two given vectors

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u dot v = 12 - 12

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Therefore, these two vectors form a right angle and are <u>orthogonal</u>

-------------------

Extra info:

If we can show that u = <a, b> and v = <ka, kb> for some real number k, then we have shown that vectors u and v are parallel.

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