Factor the polynomial using the difference of cubes: $$8x^3 - 125$$

$$(2x - 5)(4x^2 + 10x + 25)$$ .

Find all zeros for the polynomial function P(x) = $$x^3 - 3x^2 - 5x + 15$$

The zeros are $$3, \, \\sqrt{5}, \, -\sqrt{5}$$ .

What is synthetic division?

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.

What is the first step in factoring a polynomial?

The first step is to look for a common factor in all terms of the polynomial.

What does it mean for a polynomial to be factored completely?

A polynomial is factored completely when it is expressed as a product of irreducible polynomials.

What is the relationship between the degree of a polynomial and the number of zeros?

The degree of a polynomial indicates the maximum number of zeros it can have, counting multiplicities.

What is a polynomial?

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

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 significance of the leading coefficient in a polynomial?

The leading coefficient determines the end behavior of the polynomial function.

Factor and Solve Polynomials Flashcards

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FLASHCARD QUESTION

Front

What is the difference of cubes formula?

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