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Answer :
The sum of the polynomials is [tex]8x^7+7x+9x^3-x+15[/tex].
Option (C) is correct.
What is a polynomial?
A polynomial is a mathematical expression consisting of variables (also called unknowns or indeterminates) and coefficients, that involve only the operations of addition, subtraction, and multiplication, and does not involve division by a variable.
The given polynomials are
[tex]6x^7+9x^3-x+9\\\\2x^7+7x+6[/tex]
Now take addition of the above polynomials, we get
[tex]=(6x^7+9x^3-x+9)+(2x^7+7x+6)\\\\=8x^7+9x^3+7x-x+15[/tex]
Hence, the sum of the polynomials is [tex]8x^7+7x+9x^3-x+15[/tex].
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