The factor are (x^2 - 6)(x + 5).
We have given the polynomial of [tex]x^3 + 5x^2 - 6x - 30.[/tex]
The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.
[tex]x^3 + 5x^2 - 6x - 30.[/tex]
factor out the x^2 from first two term and write the remaining term in the bracket
similarly,factor out 6 from the 3rd and 4th term we get
[tex]x^2(x+5)-6(x+5)[/tex]
by grouping are we get
[tex](x^2 - 6)(x + 5).[/tex]
To learn more about the grouping factor visit:
https://brainly.com/question/87451