91Ó°ÊÓ

Classify each of the following statements as either true or false. Not every polynomial equation is quadratic.

Classify each binomial as either a sum of cubes, a difference of cubes, a difference of squares, or none of these. $$ x^{3}-1 $$

Classify the following as either a perfect-square trinomial, a difference of two squares, a polynomial having a common factor, or none of these. \(x^{2}-100\)

Choose from the column on the right the item that corresponds to the type of polynomial. Choices may be used more than once. a) Polynomial with a common factor b) Difference of two squares c) Sum of two cubes d) Difference of two cubes e) Perfect-square trinomial I) None of these $$\text{_____}25 y^{2}-49$$

Classify each of the following statements as either true or false. The equations \(3 x^{2}-5 x+2=0,4 t^{2}=t+2\) and \(9 n^{2}=4\) are all examples of quadratic equations.

Classify the following as either a perfect-square trinomial, a difference of two squares, a polynomial having a common factor, or none of these. \(t^{2}-18 t+81\)

Classify the following as either a perfect-square trinomial, a difference of two squares, a polynomial having a common factor, or none of these. \(36 x^{2}-12 x+1\)

Classify each of the following statements as either true or false. The product of a monomial and a binomial is found using the distributive law.

Classify each binomial as either a sum of cubes, a difference of cubes, a difference of squares, or none of these. $$ 9 x^{4}-25 $$

Match the description with the appropriate expression from the column on the right. a) \(9 a^{7}\) b) \(6 s^{2}-2 t+4 s t^{2}-s t^{3}\) c) \(4 t^{-2}\) d) \(t^{4}-s t+s^{3}\) e) \(7 t^{3}-13+5 t^{4}-2 t\) f)\(4 t^{3}+12 t^{2}+9 t-7\) g) \(5+a\) h) \(4 t^{6}+7 t-8 t^{2}+5\) i) \(8 s t^{3}-6 s^{2} t+4 s t^{3}-2 s\) j) \(7 s^{3} t^{2}-4 s^{2} t+3 s t^{2}+1\) ____ A sixth-degree polynomial