How do you factor out the GCF from the expression $$2a^2b^3 + 14ab^2 - 12ab$$ ?

The GCF is $$2ab$$ , so the factored form is $$2ab(a^2b^2 + 7b - 6)$$ .

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

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

How do you subtract the polynomials $$(4x^2 + 8x - 4) - (3x^2 + 3x - 14)$$ ?

Combine like terms to get $$x^2 + 5x + 10$$ .

What is the product of the polynomials $$(x + 2)(x - 3)$$ ?

The product is $$x^2 - x - 6$$ .

How do you factor out the GCF from the expression $$3x^2y^3 + 6xy^2 - 2y$$ ?

The GCF is $$y$$ , so the factored form is $$y(3x^2y^2 + 6xy - 2)$$ .

What does it mean to subtract polynomials?

Subtracting polynomials involves combining like terms after distributing the negative sign to the second polynomial.

What is the standard form of a polynomial?

The standard form of a polynomial is written in descending order of the degree of its terms.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the expression.

What is the process of multiplying polynomials?

To multiply polynomials, use the distributive property (FOIL for binomials) to combine each term.

What are like terms in a polynomial?

Like terms are terms that have the same variable raised to the same power.

How do you combine like terms?

Combine like terms by adding or subtracting their coefficients while keeping the variable part unchanged.

What is the difference between a monomial and a polynomial?

A monomial is a single term, while a polynomial is a sum of two or more terms.

What is the importance of factoring in algebra?

Factoring simplifies expressions and helps solve equations by finding roots.

Alg2CP Unit 4: Retention Station Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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