Answer :
Final answer:
To factor completely, use the rational root theorem and synthetic division. The complete factorization of the expression is (x + 3)(4x^2 - 4x - 15).
Explanation:
To factor the expression completely, we can use the factor theorem and synthetic division. Begin by finding the possible rational roots of the polynomial using the rational root theorem. The possible roots are ± 1, ± 3, ± 5, ± 9, ± 15, and ± 45. Using synthetic division with the root x = -3, we find that (x + 3) is a factor of the polynomial. The resulting quotient can be factored further to obtain the complete factorization as (x + 3)(4x^2 - 4x - 15).
Learn more about Factoring here:
https://brainly.com/question/33624529
#SPJ11
