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 $$4x^3$$ are not.

What is the result of $$(3x^3 + 3x^2 + 5) - (x^3 - 2x^2 + x - 4)$$ ?

The result is $$2x^3 + 5x^2 - x + 9$$ .

Simplify the expression $$-6x + 4(-x - 3)$$ .

The simplified expression is $$-10x - 12$$ .

Find the sum of $$(3y^2 + y^3 - 5) - (-4y^2 + 4y) + (2y^3 + 8)$$ .

The sum is $$3y^3 + 7y^2 - 4y + 3$$ .

What is the perimeter of a triangle if it is given as $$10x + 20$$ ?

The perimeter is the total length around the triangle, represented by the expression $$10x + 20$$ .

If the perimeter of a triangle is $$10x + 20$$ , and one side is $$5x + 10$$ , what is the length of the missing side?

The length of the missing side is $$5x + 10$$ .

Find the product of $$\text{(5n - 8)(-3n^2 + 2n - 1)}$$ .

The product is $$-15n^3 + 34n^2 - 21n + 8$$ .

What is a coefficient in a polynomial?

A coefficient is a numerical factor in a term of a polynomial. For example, in $$4x^3$$ , the coefficient is 4.

What is the difference between a monomial and a polynomial?

A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, $$3x^2$$ is a monomial, and $$3x^2 + 2x + 1$$ is a polynomial.

What does it mean to simplify a polynomial expression?

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

What is the standard form of a polynomial?

The standard form of a polynomial is when the terms are arranged in descending order of their degrees. For example, $$4x^3 + 2x^2 - x + 5$$ is in standard form.

Polynomials Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

2.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

How do you add polynomials?

Back

Tags

CCSS.HSA.APR.A.1

4.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

What is a like term?

Back

Tags

CCSS.6.EE.A.2B

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.A.3

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