Audrey's Factoring review

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

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What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

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Back

The factors are (x - 5)(x - 3).

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

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Back

The factored form is 4b^2(b^3 + b + 4).

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What is the difference of squares?

Back

The difference of squares is a special factoring pattern expressed as a^2 - b^2 = (a - b)(a + b).

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Back

The factors are (x - 7)(x + 7).

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What is a perfect square trinomial?

Back

A perfect square trinomial is a trinomial that can be expressed as the square of a binomial, such as (a + b)^2 = a^2 + 2ab + b^2.

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Back

The factors are (3x + 2)(3x - 4).

Front

What is the sum of cubes formula?

Back

The sum of cubes can be factored using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2).