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

A monomial is a polynomial with only one term. It can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers. For example, $$4x^3$$ is a monomial.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial. For example, the degree of $$4x^3 + 2x^2 - x + 5$$ is $$3$$ .

How do you multiply a monomial by a polynomial?

To multiply a monomial by a polynomial, distribute the monomial to each term in the polynomial. For example, $$2x(3x^2 + 4x + 5) = 6x^3 + 8x^2 + 10x$$ .

Like terms are terms in a polynomial 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 adding $$(3x^2 - 5x + 2) + 4(2x^2 + x - 3)$$ ?

The result is $$11x^2 - 3x - 10$$ .

What is the result of combining like terms in $$4x^2 + 3x - 7 + 2x^2 - 5x$$ ?

The result is $$6x^2 - 2x - 7$$ .

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

The result is $$3x^3 + 5x^2 - 1$$ .

What is the result of adding $$(5x^2 - 3x + 2) + (5x - 7 + 4x^2)$$ ?

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

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

The result is $$10x^3 - 6x^2 + 8x$$ .

Add, Subtract, Monomial Multiplication of Polynomial Operations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define a polynomial.

Back

2.

FLASHCARD QUESTION

Front

What is a monomial?

Back

3.

FLASHCARD QUESTION

Front

What does it mean to combine like terms in a polynomial?

Back

4.

FLASHCARD QUESTION

Front

How do you add polynomials?

Back

5.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

6.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

7.

FLASHCARD QUESTION

Front

What is a coefficient in a polynomial?

Back

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