0. Review of Algebra

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. $\left(2/3\right)t^6+\left(3/t^5\right)+1$

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. (3/8)x⁵-(1/x²)+9

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. $15a^2{b}^3+12a^3{b}^8-13b^5+12b^6$

Perform the indicated operations. (10m⁴-4m²)/2m

Perform the indicated operations. -2x³(x⁴-8)

Find each product. [(4y-1)+z]²

Find each product. (2z-1)(-z²+3z-4)

Find each product. $2b^3(b^2-4b+3)$

Find each product. Assume all variables represent positive real numbers. $-4k \left( k^{7/3} - 6k^{1/3} \right)$

Find each product. Assume all variables represent positive real numbers. $y^{5/8} \left( y^{3/8} - 10y^{11/8} \right)$

Perform the indicated operations. See Examples 2–6.

$-z^3(9-z)+4z(2+3z)$

Perform the indicated operations. (3p+5)²

Perform the indicated operations. (7m+2n)²

Find each product. [(2m+7)-n]²

Find each product. [(3a+b)-1]²