Question

Need help on the even-numbered ones.(sorry it was at the bottom of the page)

Answer 1

Find the GCF of both terms.

10) 36x + 24   --> GCF = 12

     $\dfrac{12}{12}(36x+24)\quad \rightarrow \quad 12\bigg[\dfrac{36x}{12}+\dfrac{24}{12}\bigg]\quad \rightarrow \quad 12(3x + 2)$

12) 4x + 9    -->  GCF = 1       so cannot be factored

14) 2x - 4    --> GCF = 2

     $\dfrac{2}{2}(2x-4)\quad \rightarrow \quad 2\bigg[\dfrac{2x}{2}-\dfrac{4}{2}\bigg]\quad \rightarrow \quad 2(x - 2)$

16)  12 + 18x  --> GCF = 6

     $\dfrac{6}{6}(12+18x)\quad \rightarrow \quad 6\bigg[\dfrac{12}{6}+\dfrac{18x}{6}\bigg]\quad \rightarrow \quad 6(2 + 3x)$

18) 15x + 8   --> GCF = 1        so cannot be factored

20) 50x - 300   --> GCF = 50

     $\dfrac{50}{50}(50x-300)\quad \rightarrow \quad 50\bigg[\dfrac{50x}{50}-\dfrac{300}{50}\bigg]\quad \rightarrow \quad 50(x -6)$