# Solutions to Problem Set 13

Math 101-06

10-6-2017

[Factoring]

1. Factor .

2. Factor .

3. Factor .

4. Factor .

I need two numbers whose product is 8 and whose sum is 6. The numbers are 2 and 4, so

5. Factor .

I need two numbers whose product is 11 and whose sum is 12. The numbers are 1 and 11, so

6. Factor .

I need two numbers whose product is 6 and whose sum is -5. The numbers are -2 and -3, so

7. Factor .

I need two numbers whose product is 24 and whose sum is -10. The numbers are -4 and -6, so

8. Factor .

I need two numbers whose product is -27 and whose sum is -6. The numbers are -9 and 3, so

9. Factor .

I need two numbers whose product is 20 and whose sum is -12. The numbers are -2 and -10, so

10. Factor .

11. Factor .

Take out a common factor first, then factor the quadratic by trial:

12. Factor .

Let us train our minds to desire what the situation demands. - Seneca

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