Answer:
The polynomial 3x² + x - 6x + 3 is a prime polynomial
How to determine the prime polynomial?
For a polynomial to be prime, it means that the polynomial cannot be divided into factors
From the list of options, the polynomial (D) is prime, and the proof is as follows:
We have:
3x² + x - 6x + 3
From the graph of the polynomial (see attachment), we can see that the function does not cross the x-axis.
Hence, the polynomial 3x² + x - 6x + 3 is a prime polynomial
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<span>Simplifying
15 + 5x = 0
Solving
15 + 5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 5x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + 5x = 0 + -15
5x = 0 + -15
Combine like terms: 0 + -15 = -15
5x = -15
Divide each side by '5'.
x = -3
Simplifying
x = -3</span>
They are abstract "word" problems, offered for the purpose of giving the
student of high school mathematics valuable practice in the application
and manipulation of the concept of "percent".
Often, some time spent in solving practice-examples such as these can
lead to the phenomenon known as "learning", whereby the student comes
to know, understand, and possess competence in a topic where he or she
was previously ignorant and incompetent.
It is important to realize that the practice is the vital component in the process,
whereas the answers alone have no value at all.