4.2 Starter #2 (Solving by Factoring)

Solving by Factoring Starter

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Multiple Choice

What should we do first in order to solve this equation?

• Factor an x out of every term

• add 9x to both sides of the equation

• subtract 9x from both sides of the equation

• add 3x to both sides of the equation

Multiple Choice

What should we do next?

• factor out a GCF

• factor the difference of two squares

• factor by splitting the middle term

• Factor by grouping

Multiple Choice

What is the GCF of the three terms in this problem?

• 2

• x

• 2x

• 6

• 6x

Multiple Choice

What do we get in the parenthesis after factoring out the 2x?

• 4x²+32x-10

• 4x²+17x-6

• 3x²+17x-6

Multiple Choice

What should we do next?

• Factor the inside of the parenthesis by splitting the middle term

• Factor the inside of the parenthesis using the difference of two squares

• Factor the inside of the parenthesis using factoring by grouping

Multiple Choice

What two numbers multiply to give us -18 and add up to 17?

• 1 and -18

• 2 and -9

• -1 and 18

• -2 and 9

• -3 and 6

Multiple Choice

Now we will factor the polynomial in the parenthesis by grouping. What is the GCF of the first two terms in the parenthesis (3x² and -x)?

• 3x²

• 3x

• x²

• x

Multiple Choice

What is the greatest common factor of the last two terms in the parenthesis (18x and -6)?

• -6

• -3

• 3

• 6

Multiple Choice

What expression should we get in both sets of parenthesis after factoring out the GCF's?

• 3x + 1

• 3x

• 3x - 1

Multiple Choice

What should we do next?

• distribute

• set each factor equal to 0

• factor out (3x-1)

Multiple Choice

After factoring out 3x-1, what should we have in the parenthesis?

• 3x - 1

• 3x + 1

• x - 6

• x + 6

Multiple Choice

What should we do next?

• nothing, we are done

• distribute

• set each factor equal to 0

Multiple Choice

What do you get when you solve the equation 2x = 0?

• x = -2

• x = 0

• x = 2

Multiple Choice

What do you get when you solve the equation 3x - 1 = 0?

• x = -3

• x = -1/3

• x = 1/3
• x= 3

Multiple Choice

What do you get when you solve the equation x + 6 = 0?

• x = -6

• x = 0

• x = 6