For polynomials you need to remember that they have 2 things: terms and positive exponents. 1) is not polynomial because if you rewrite it the second term has a negative exponent ( -4x^-2) 2)is a polynomial 3) is a polynomial 4) is not a polynomial because if you convert the sqrt in a exponent you have a rational exponent (4x)^1/2 5) for standard form arrange the terms from the high to low degrees X^11 -9x^7. +4x^5. -6 The degree is 11 the leading coefficient is 1 6) same idea as 5. The degree is 6 and leading coefficient is -2 7) degree 3 and has 3 terms 8) degree 2 and has 3 terms