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Determine whether each statement is true or false. You have one submission for each statement. (a) The function \( \left(x^{2}+1\right)^{8}\left(x^{6}-1\right) \) is a polynomial of degree 22 . True \( \bigcirc \) False (b) The function \( x^{11}+5 x^{9}+\sqrt{x}+1 \) is a polynomial of degree 11 . True False (c) The function \( \frac{x^{4}+1}{3+\sqrt{x}} \) is a rational function. True \( \bigcirc \) False (d) The function \( 7 x^{-10}-8 x^{-4}+2 \) is a rational function. True Ofalse