The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
According to the fundamental theorem of algebra.
The polynomial function has only exactly 6 roots.
The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.
If the degree of the variable is n then the number of the roots will be n or less than n.
If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.
Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.
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The given sequence is not arithmetic sequence
<em><u>Solution:</u></em>
Given sequence is:

We have to find if the above sequence is arithmetic sequence or not
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant
<em><u>Here in the given sequence</u></em>

<em><u>Let us find the difference between terms</u></em>




Thus the difference between terms is not constant
So the given sequence is not arithmetic sequence
A. ) Addition Property is the answer
If you distribute -5 to the things in the parenthesis you would get 10k-20 which is the same as -5(-2k+4)