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Exercises Polynomials and factoring

Example 6.1 from Elementary Algebra, 6.1 Add and Subtract Polynomials

Add and Subtract Polynomials: example 6.1

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

ⓐ $4 y^{2} - 8 y - 6$
ⓑ $−5 a^{4} b^{2}$
ⓒ $2 x^{5} - 5 x^{3} - 9 x^{2} + 3 x + 4$
ⓓ $13 - 5 m^{3}$
ⓔ $q$

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

ⓐ $4 y^{2} - 8 y - 6$ $3$ Trinomial

ⓑ $−5 a^{4} b^{2}$ $1$ Monomial

ⓒ $2 x^{5} - 5 x^{3} - 9 x^{2} + 3 x + 4$ $5$ Polynomial

ⓓ $13 - 5 m^{3}$ $2$ Binomial

ⓔ $q$ $1$ 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:

ⓐ $5 b$ ⓑ $8 y^{3} - 7 y^{2} - y - 3$ ⓒ $−3 x^{2} - 5 x + 9$ ⓓ $81 - 4 a^{2}$ ⓔ $−5 x^{6}$

How did it go?

PreviousIntroduction to Factoring Polynomials: example 10.93 Next Add and Subtract Polynomials: example 6.2

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 6.1, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.