What is the product of (4x + 1)(5x - 2)?

The product is $$20x^2 - 3x - 2$$ .

How do you express the dimensions of a rectangle in product form?

The dimensions can be expressed in product form by factoring the polynomial that represents the area. For example, if the area is $$4x^2 - 8x$$ , it can be factored as $$4x(x - 2)$$ .

What is the distributive property?

The distributive property states that $$a(b + c) = ab + ac$$ . It is used to multiply a single term by a sum or difference.

A binomial is a polynomial with exactly two terms. For example, $$x + 5$$ is a binomial.

What is a quadratic polynomial?

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form $$ax^2 + bx + c$$ .

What does it mean to factor a polynomial?

Factoring a polynomial means to express it as a product of its factors. For example, $$x^2 - 9$$ can be factored as $$(x - 3)(x + 3)$$ .

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in $$3x^4 + 2x^3 - x + 5$$ , the leading coefficient is 3.

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, $$5x$$ is a monomial, and $$5x + 3x^2 - 2$$ is a polynomial.

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 is the standard form of a quadratic polynomial?

Back

3.

FLASHCARD QUESTION

Front

How do you multiply two binomials?

Back

4.

FLASHCARD QUESTION

Front

What is the result of multiplying (x - 3)(x + 10)?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the area of a rectangle represented by the expression (x + 3)(2x - 4)?

Back

7.

FLASHCARD QUESTION

Front

What is the error in multiplying (2x - 4)(x + 3) if 3x is written instead of 6x?

Back

The error is that 3x should be 6x, as you multiply 2x by 3 to get 6x.

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