Factor by Grouping

Front

What is factoring by grouping?

Back

Factoring by grouping is a method used to factor polynomials by grouping terms with common factors together.

Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms of the polynomial into pairs or sets that have common factors.

Front

How do you factor the expression 5n³-10n²+3n-6?

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(5n²+3)(n-2)

Front

What is the purpose of factoring a polynomial?

Back

The purpose of factoring a polynomial is to simplify it, solve equations, or find roots.

Front

What is the result of factoring x³ - 4x² - 4x + 16?

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(x-4)(x²-4)

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What does it mean to factor out a common factor?

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To factor out a common factor means to identify and extract the greatest common factor from a set of terms.

Front

How do you factor the expression 7r³ - 8r² + 42r - 48?

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(r²+6)(7r-8)

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What is the significance of the zero product property in factoring?

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The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

What is the factored form of x³ + 7x² - 2x - 14?

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(x²-2)(x+7)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents combined using addition, subtraction, and multiplication.