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

The result is $$3x^2 + 18x - 8$$ .

How do you factor the expression $$n^3 + 5n^2 - 9n - 45$$ ?

The expression can be factored as $$(n^2 - 9)(n + 5)$$ .

What is the result of simplifying $$\frac{-8x^5 + 28x^4 - 4x^3}{4x^3}$$ ?

The result is $$-2x^2 + 7x - 1$$ .

What is the process of distributing in polynomials?

Distributing involves multiplying each term in one polynomial by each term in another polynomial. For example, in $$(x + 2)(x + 3)$$ , you distribute to get $$x^2 + 3x + 2x + 6$$ .

What does it mean to combine like terms?

Combining like terms means adding or subtracting coefficients of terms that have the same variable and exponent.

What is the result of factoring $$n^2 - 5n - 50$$ ?

The expression can be factored as $$(n + 5)(n - 10)$$ .

What is a coefficient in a polynomial?

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

What is the significance of the leading coefficient?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial, which influences the polynomial's end behavior.

Polynomial Questions Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial involves combining like terms and reducing the expression to its simplest form.

3.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

4.

FLASHCARD QUESTION

Front

What are like terms in a polynomial?

Back

5.

FLASHCARD QUESTION

Front

How do you factor a polynomial?

Back

6.

FLASHCARD QUESTION

Front

What is the difference of squares?

Back

7.

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.

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