A monomial is a polynomial with only one term. For example, $$4x^2$$ and $$-3xy$$ are monomials.

A binomial is a polynomial with exactly two terms. For example, $$x + 5$$ and $$3x^2 - 2x$$ are binomials.

A trinomial is a polynomial with exactly three terms. For example, $$x^2 + 3x + 2$$ is a trinomial.

How do you divide polynomials?

To divide polynomials, use long division or synthetic division. For example, dividing $$(2x^3 + 4x^2)$$ by $$2x$$ gives $$x^2 + 2x$$ .

What is a coefficient in a polynomial?

A coefficient is a numerical factor in a term of a polynomial. For example, in $$5x^2$$ , the coefficient is 5.

Like terms are terms that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms.

What is the result of $$\frac{(-18x^5 - 12x^3 - 6x^2)}{-3x}$$ ?

The result is $$6x^4 + 4x^2 + 2x$$ .

What is the result of $$\frac{(15mn^2 + 30m^3n^4 + 45n^5)}{5}$$ ?

The result is $$3mn^2 + 6m^3n^4 + 9n^5$$ .

What is the result of $$-5x^6(3x^2 - 12x + 30)$$ ?

The result is $$-15x^8 + 60x^7 - 150x^6$$ .

What is the result of $$\frac{(x^6y^8 - x^4y^6 + x^2y^4)}{x^2y^2}$$ ?

The result is $$x^4y^6 - x^2y^4 + y^2$$ .

Add, Subtract, Multiply, and Divide Polynomials (rev #2)

Flashcard

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.D.6, HSA.APR.A.1, 6.EE.A.2B

Standards-aligned

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FLASHCARD QUESTION

Front

What is a polynomial?

Back

FLASHCARD QUESTION

Front

What does it mean to add polynomials?

Back

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