Operations with polynomials

Operations with polynomials

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSA.APR.A.1, 6.EE.A.2B, HSA-REI.B.4B

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 3x^2 + 2x - 5 is a polynomial.

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a polynomial expression?

Back

Simplifying a polynomial expression means to combine like terms and reduce the expression to its simplest form.

3.

FLASHCARD QUESTION

Front

What are like terms in a polynomial?

Back

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

Tags

CCSS.6.EE.A.2B

4.

FLASHCARD QUESTION

Front

How do you multiply a polynomial by a monomial?

Back

To multiply a polynomial by a monomial, distribute the monomial to each term of the polynomial. For example, -3x^2(7x^2 - x + 4) = -21x^4 + 3x^3 - 12x^2.

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

What is the area of a rectangle represented by a polynomial?

Back

The area of a rectangle can be found by multiplying its length and width. For example, if length = 2x - 7 and width = 3x, then area = (2x - 7)(3x) = 6x^2 - 21x.

Tags

CCSS.HSA.APR.A.1

6.

FLASHCARD QUESTION

Front

What is the process of subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (7p + 4p^3 - 8) - (-3p^2 + 2 - 9p) results in 4p^3 + 3p^2 + 16p - 10.

Tags

CCSS.HSA.APR.A.1

7.

FLASHCARD QUESTION

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (3x^3 + 3x^2 - 4x + 5) + (x^3 - 2x^2 + x - 4) = 4x^3 + 1x^2 - 3x + 1.

Tags

CCSS.HSA.APR.A.1

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