How do you multiply monomials with the same base?

When multiplying monomials with the same base, add the exponents. For example, $$x^m * x^n = x^{m+n}$$ .

What is the difference between a monomial and a polynomial?

A monomial has 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.

How do you distribute in the expression 5x(4x^3 + 8)?

Use the distributive property: $$5x * 4x^3 + 5x * 8 = 20x^4 + 40x$$ .

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

What is the sum of $$3x^2 + 4x^2$$ ?

Combine like terms: $$3x^2 + 4x^2 = 7x^2$$ .

What happens when you multiply a monomial by zero?

Any monomial multiplied by zero equals zero. For example, $$5x^3 * 0 = 0$$ .

Monomials Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

2.

FLASHCARD QUESTION

Front

What is the product of two monomials?

Back

3.

FLASHCARD QUESTION

Front

How do you simplify the expression 2c^3 + 8c^3?

Back

4.

FLASHCARD QUESTION

Front

What is the result of multiplying (3c^2)(10c^7)?

Back

5.

FLASHCARD QUESTION

Front

How do you simplify the expression -5a^2b^2 - a^2b^2?

Back

6.

FLASHCARD QUESTION

Front

What is the degree of a monomial?

Back

7.

FLASHCARD QUESTION

Front

What is the coefficient in a monomial?

Back

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