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What is factoring in algebra?

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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 of ax^2 + bx + c.

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What does GCF stand for in mathematics?

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GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two terms?

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To find the GCF, identify the common factors of the terms and choose the largest one.

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(x - 12)(x - 4)

Front

What is the first step in factoring a trinomial?

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The first step is to identify the coefficients of the terms and look for two numbers that multiply to the constant term and add to the linear coefficient.

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(x - 12)(x - 3)

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

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The leading coefficient affects the shape and direction of the parabola represented by the trinomial when graphed.

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7a(3a^2 + 3a + 2)

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What is the relationship between the roots of a trinomial and its factors?

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The roots of a trinomial are the values of x that make the trinomial equal to zero, and they correspond to the values that make each factor equal to zero.