Multiply the polynomials.

(x + 4) (x^2 - 5x+3)

x^3 - x^2 - 17x + 12

Step-by-step explanation:

To multiply two polynomials together, first multiply each term of one polynomial by each term of the other polynomial. Then, collect like terms.

(x + 4) (x^2 - 5x + 3) =

Multiply x by each term of x^2 - 5x + 3. Multiply 4 by each term of x^2 - 5x + 3.

= x^3 - 5x^2 + 3x + 4x^2 - 20x + 12

Now collect like terms and write them in descending order of degree.

= x^3 - x^2 - 17x + 12