(Solved): Determine whether each statement is true or false. You have one submission for each statement. (a) ...

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