Final answer:
To multiply the given polynomials, use the distributive property and combine like terms.
Step-by-step explanation:
To multiply the polynomials (a² + 3a-7) and (2a²-a + 4), we need to use the distributive property. This means we multiply each term in the first polynomial by each term in the second polynomial and then combine like terms.
(a² + 3a-7) * (2a²-a + 4) = a² * 2a² + a² * (-a) + a² * 4 + 3a * 2a² + 3a * (-a) + 3a * 4 - 7 * 2a² - 7 * (-a) - 7 * 4
Simplifying further, we get:
2a⁴ - a³ + 4a² + 6a³ - 3a² + 12a - 14a² + 7a - 28
Combining like terms, we have: 2a⁴ + 5a³ - 14a² + 19a - 28
Learn more about Multiplying polynomials