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

The result is $$3x^3 - 12x^2 - 15x$$ .

Use the FOIL method to multiply $$(x + 3)(x - 7)$$ .

The result is $$x^2 - 4x - 21$$ .

What is the area of a rectangle formula?

The area of a rectangle is calculated using the formula $$A = l \cdot w$$ , where $$l$$ is the length and $$w$$ is the width.

If the length is $$x + 5$$ and the width is $$x - 4$$ , what is the area?

The area is $$(x + 5)(x - 4) = x^2 + x - 20$$ .

What is the result of multiplying $$(5x + 2)(x^2 - 3x + 6)$$ ?

The result is $$5x^3 - 13x^2 + 24x + 12$$ .

A binomial is a polynomial with exactly two terms, such as $$x + 3$$ or $$2x^2 - 5$$ .

A trinomial is a polynomial with exactly three terms, such as $$x^2 + 2x + 1$$ .

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the expression. For example, the degree of $$4x^3 + 2x^2 - x + 7$$ is 3.

What happens when you multiply two polynomials?

When you multiply two polynomials, you combine like terms and the resulting polynomial's degree is the sum of the degrees of the multiplied polynomials.

What is the importance of combining like terms?

Combining like terms simplifies the polynomial, making it easier to work with and understand.

Multiplying Polynomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Tags

CCSS.HSA.APR.A.1

3.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

Tags

CCSS.6.EE.A.3

4.

FLASHCARD QUESTION

Front

How do you multiply a monomial by a polynomial?

Back

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

6.

FLASHCARD QUESTION

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

Tags

CCSS.HSA.APR.A.1

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

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