MATH 114N Week 1 Homework Section 13-1 | Answers

(MATH 114N Week 1 Homework Section 13-1)

1. Question: Find the greatest common factor.

24, 36

2. Question: Find the GCF for the following list.

24, 10, 15

3. Question: Find the greatest common factor (GCF) of 8x and 36.

4. Question: Find the greatest common factor for the list of terms.

5. Question: Find the greatest common factor .

a⁷b²,  a⁷b⁴

6. Question: An expression is factored when it is written as a product, not a sum. Determine whether the expression is factored or not factored.

5x⁶(3x)

7. Question: A student factored 33x⁶y² + 11xy as 11xy(3x⁵y). What went wrong? Factor correctly.

8. Question: Complete the factoring.

7y + 70 = 7 (     )  ­­­­­

7y + 70 = 7(y + 10)

9. Question: Write in factored form by factoring out the greatest common factor (or a negative common factor if the coefficient of the term of greatest degree is negative).

X²  – 9x

10. Question: Factor

6t² + 2t

11. Question: Write in factored form by factoring out the greatest common factor (or a negative common factor if the coefficient of the term of greatest degree is negative).

–70x³ – 7x²   

12. Question: Factor by grouping.

       4m + mn + 20 + 5n                              

       4m + mn + 20 + 5n = (4 + n)(m + 5)

13. Question: Factor by grouping. 

7z² + 21z – az – 3a                               

         7z² + 21z – az – 3a = (z + 3)(7z – a)

14. Question: Factor by grouping.

        X³ + 4x² + 2x + 8                              

        X³ + 4x² + 2x + 8 = (x² + 2)(x + 4)