Final answer:
The product of (5x - 4)(3x^2 + x - 5) is 15x^3 - 7x^2 - 29x + 20.
Step-by-step explanation:
To find the product of (5x - 4)(3x2 + x - 5), we can use the distributive property. We multiply each term in the first expression (5x - 4) by each term in the second expression (3x2 + x - 5) and then combine like terms.
Using the distributive property:
(5x - 4)(3x2 + x - 5) = 5x * 3x2 + 5x * x - 5x * 5 - 4 * 3x2 - 4 * x + 4 * 5
Simplifying:
15x3 + 5x2 - 25x - 12x2 - 4x + 20
Combining like terms:
15x3 + (5x2 - 12x2) + (-25x - 4x) + 20
Simplifying further:
15x3 - 7x2 - 29x + 20
Learn more about Multiplying Polynomials