Respuesta :

Answer:

The common factor is (x3 – 4)(2x + 5)

Step-by-step explanation:

1. find gcf

2. factor out the gcf

3. use grouping

Answer:

[tex](x^3-4)(2x+5)[/tex]

Step-by-step explanation:

[tex]2x^4 + 5x^3 - 8x -20[/tex]

To factor this we use grouping method

[tex](2x^4 + 5x^3)+(- 8x -20)[/tex]

Take out GCF from each group. x^3 is the GCF for first group and -4 is the GCF from second group

[tex]x^3(2x+5)-4(2x+5)[/tex]

Now we factor out 2x+5

[tex](x^3-4)(2x+5)[/tex]