Diamond Factoring

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What is diamond factoring?

Back

Diamond factoring is a method used to factor quadratic expressions of the form ax^2 + bx + c by organizing the factors in a diamond shape.

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What does the top number in diamond factoring represent?

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The top number represents the product of the two numbers that will be placed in the bottom corners of the diamond.

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What do the bottom corners in diamond factoring represent?

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The bottom corners represent the two numbers that add up to the middle number (the left number) and multiply to the top number.

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How do you determine the left number in diamond factoring?

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The left number is the sum of the two numbers that you find for the bottom corners.

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If the top number is 16, what pairs of numbers could be used in diamond factoring?

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Possible pairs include (1, 16), (2, 8), (4, 4), (-1, -16), (-2, -8), (-4, -4).

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What is the significance of negative numbers in diamond factoring?

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Negative numbers can be used in pairs to achieve a positive product while still allowing for a negative sum.

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How do you fill in the missing numbers in diamond factoring?

Back

Identify two numbers that multiply to the top number and add to the left number, then place them in the bottom corners.

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What is an example of a diamond factoring problem?

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Factor x^2 - 5x + 6 using diamond factoring.

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What are the missing numbers for the problem: Fill in the missing numbers (top: 8, left: -4)?

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The missing numbers are -2 and -2.

Front

What is the first step in diamond factoring?

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Identify the top number (the product) and the left number (the sum) from the quadratic expression.