What is the result of multiplying a polynomial by a monomial?

To multiply a polynomial by a monomial, distribute the monomial to each term in the polynomial. For example, $$4a(5a^2 - a + 4) = 20a^3 - 4a^2 + 16a$$ .

What is the perimeter of a rectangle with width (2x + 3) and length (2x - 4)?

The perimeter P is given by the formula $$P = 2(length + width)$$ . Thus, $$P = 2((2x - 4) + (2x + 3)) = 2(4x - 1) = 8x - 2$$ .

What is the factored form of $$m^2 - 25$$ ?

The expression $$m^2 - 25$$ can be factored as $$(m - 5)(m + 5)$$ , which is a difference of squares.

What are like terms in a polynomial?

Like terms are terms that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms, while $$3x^2$$ and $$4x$$ are not.

What is the process of dividing polynomials?

To divide polynomials, use long division or synthetic division. For example, dividing $$x^3 + 2x^2 - x$$ by $$x + 1$$ involves finding how many times $$x$$ fits into the leading term.

A monomial is a polynomial with only one term. For example, $$5x^3$$ and $$-2xy$$ are monomials.

A binomial is a polynomial with exactly two terms. For example, $$x^2 + 3x$$ and $$4a - 5b$$ are binomials.

A trinomial is a polynomial with exactly three terms. For example, $$x^2 + 4x + 4$$ is a trinomial.

Naming Polynomials And Polynomial Operations

Naming Polynomials and Polynomial Operations

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.A.1, 7.EE.A.1, HSA.APR.C.4

Standards-aligned

Wayground Content

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15 questions

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FLASHCARD QUESTION

Front

What is a polynomial?

Back

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

FLASHCARD QUESTION

Front

How do you classify polynomials by degree?

Back

Polynomials can be classified as: - Constant (degree 0) - Linear (degree 1) - Quadratic (degree 2) - Cubic (degree 3) - Quartic (degree 4), etc.

FLASHCARD QUESTION

Front

What is the leading coefficient of a polynomial?

Back

FLASHCARD QUESTION

Front

What is the process of adding polynomials?

Back

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