Respuesta :
x^3 - 5x^2 + 3x - 15
(x^3 - 5x^2) + (3x - 15)
x^2 (x - 5) + 3 (x - 5)
(x^2 + 3) (x-5)
(x^3 - 5x^2) + (3x - 15)
x^2 (x - 5) + 3 (x - 5)
(x^2 + 3) (x-5)
Factorization of the polynomial by grouping as shown yeilds the result; (x^2 + 3) (x-5)
What is factorization?
The term factorization refers to the collection of common factors in an expression. We can go about factorization by grouping the terms in the expression.
To factor the expression x^3 - 5x^2 + 3x - 15; We break the expression into two groups as shown below;
(x^3 - 5x^2) + (3x - 15)
Factorizing each group we have;
x^2 (x - 5) + 3 (x - 5)
Hence the factors of the polynominal are;
(x^2 + 3) (x-5)
Learn more about factorization: https://brainly.com/question/14356798