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Factoring Part 2

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FactoringPart 2

Tuesday, April 1st

In your teams, factor the following:

9x2 – 15x

In your teams, factor the following:

x2 – 11x + 30

In your teams, factor the following:

x2 – 10x – 24

In your teams, factor the following:

2x2 + 16x + 14

In your teams, factor the following:

–3x2 + 3x + 6

Example: 6x2 + 13x – 5

Step #1: Write out your equation in form

Ax2 + Bx + C

Step #2: Multiply AC. Now look for a number that multiplies to AC and adds to B.

Multiplies to -30

Adds to +13

Numbers are +15 and -2

Example: 6x2 + 13x – 5

6x2– 2x + 15x– 5

Multiplies to -30

Adds to +13

Numbers are +15 and -2

Step #3: Re-write the middle term as the addition of the two numbers you found.

6x2 + 13x – 5

Example: 6x2 + 13x – 5

6x2– 2x + 15x– 5

Multiplies to -30

Adds to +13

Numbers are +15 and -2

Step #4: Factor the first two terms of the polynomial and the last two terms seperately

2x(3x – 1) + 5(3x – 1)

Example: 6x2 + 13x – 5

6x2– 2x + 15x– 5

Multiplies to -30

Adds to +13

Numbers are +15 and -2

2x(3x – 1) + 5(3x – 1)

Step #5: Factor the common binomial out.

Example: 6x2 + 13x – 5

6x2– 2x + 15x– 5

Multiplies to -30

Adds to +13

Numbers are +15 and -2

2x(3x – 1) + 5(3x – 1)

Step #5: Factor the common binomial out.

2x(3x – 1) + 5(3x – 1)

(3x – 1)(2x + 5)

Factor: 2x2 + 9x – 5

Summary Sheet

&

Finishing touches on your project budget

Homework:

Page 156 #1 – 4 (aceg)

Page 163 #1