Different Forms of Factoring

Example

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Factoring when b and c are positive

​If b and c are both positive, the factors are of the forms (x+_) (x+_) and the two numbers that we are looking for are both positive.

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Example: x²+7x +12 = (x+4)(x+3)

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Example of grouping method

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Example

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Match each polynomial with the correct label for factoring.

• Sum of Two Squares

• Difference of

  Two Squares

• GCF Only

• Sum of

  Two Cubes

• Difference of

  Two Cubes

Factor the following completely:

20x³ + 15x²

​ (a)   (​ (b)   )

• 5x²

• 4x + 3

• 15x

• 20x²

• 2x + 3

• 5x

• 4x² + 3

Match each expression to its factored form

• (x+3)²

• 3(x+2)²

• 2(x+3)(x-3)

• (3x-1)(2x+1)

Which of the following is equivalent to w³ + 3w

(a)  

• w (w2+3)

• 3w (w2+1)

• There is no GCF

Tags

CCSS.Math.Content.HSA-APR.B.3