Factoring Trinomials through Grouping Techniques

What is the first step in factoring a trinomial using the grouping method?

• Identify the middle term

• Multiply the coefficients

• Set up the brackets

• Find the greatest common factor

What is the greatest common factor of 6x², 15x, and -21?

• 2

• 3

• 6

• 7

Which term is needed to multiply with 2x² to get 6x²?

• 3x

• 2x

• x

• 3

What two numbers multiply to -14 and add up to 5?

• 2 and 7

• -2 and 7

• 1 and 14

• -1 and 14

How is the middle term 5x rewritten using the numbers -2 and 7?

• -2x - 7x

• 2x - 7x

• -2x + 7x

• 2x + 7x

What can be factored out from the terms 2x² and -2x?

• 2x²

• 2x

• x

• 2

What is the common factor in the terms 7x and -7?

• -7

• 1

• x

• 7

What is the final factored form of the expression?

• (2x - 7)(x + 1)

• (2x + 1)(x - 7)

• (2x - 1)(x + 7)

• (2x + 7)(x - 1)

What should you do to verify the factored expression?

• Divide the terms

• Subtract the terms

• Multiply the terms

• Add the terms

What is the original expression after factoring?

• 6x² - 15x + 21

• 6x² - 15x - 21

• 6x² + 15x - 21

• 6x² + 15x + 21