Example 10.1 from Prealgebra, 10.1 Add and Subtract Polynomials

Add and Subtract Polynomials: example 10.1

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial:

ⓐ $8 x^{2} - 7 x - 9$
ⓑ $−5 a^{4}$
ⓒ $x^{4} - 7 x^{3} - 6 x^{2} + 5 x + 2$
ⓓ $11 - 4 y^{3}$
ⓔ $n$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

Polynomial Number of terms Type

ⓐ $8 x^{2} - 7 x - 9$ 3 Trinomial

ⓑ $−5 a^{4}$ 1 Monomial

ⓒ $x^{4} - 7 x^{3} - 6 x^{2} + 5 x + 2$ 5 Polynomial

ⓓ $9 - 4 y^{2}$ 2 Binomial

ⓔ $n$ 1 Monomial

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial.

ⓐ $z$
ⓑ $2 x^{3} - 4 x^{2} - x - 8$
ⓒ $6 x^{2} - 4 x + 1$
ⓓ $9 - 4 y^{2}$
ⓔ $3 x^{7}$

How did it go?