Factor the polynomial $$20n^3 - 4n^2 + 5n - 1$$ .

The factored form is $$ (4n^2 + 1)(5n - 1) $$ .

Factor the polynomial $$77x^9 - 21x^7 + 49x^5$$ .

The factored form is $$7x^5(11x^4 - 3x^2 + 7)$$ .

Factor the polynomial $$5n^3 + 3n^2 - 25n - 15$$ .

The factored form is $$ (n^2 - 5)(5n + 3) $$ .

Factor the polynomial $$35x^3 - 15x^2 - 14x + 6$$ .

The factored form is $$ (5x^2 - 2)(7x - 3) $$ .

What is a polynomial?

A polynomial is an expression consisting of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.

What does it mean to factor a polynomial?

Factoring a polynomial means expressing it as a product of its factors.

What is the process of factoring by grouping?

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler polynomials.

What is the difference between a monomial, binomial, and trinomial?

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

What is the significance of the leading coefficient in a polynomial?

The leading coefficient is the coefficient of the term with the highest degree and determines the polynomial's end behavior.

How do you identify the degree of a polynomial?

The degree of a polynomial is the highest exponent of its variable.

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 role of the constant term in a polynomial?

The constant term is the term in a polynomial that does not contain any variables and represents the value of the polynomial when all variables are zero.

Factoring GCF, 4-Term, Trinomial a = 1 -Test Flashcards

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1.

FLASHCARD QUESTION

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2.

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3.

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

Front

What is the definition of GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

7.

FLASHCARD QUESTION

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

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