Explain step by step how to use the horizontal method the multiple the two polynomials

Step-by-step explanation:

Multiply each term of the first polynomial with   the second polynomial. Then combine the like terms.

(3a² + 5a - 2)* (5a² -3a + 4)

= 3a² *(5a² -3a + 4)  + 5a*(5a² -3a + 4)  - 2*(5a² -3a + 4)

=3a²*5a² - 3a*3a² + 4*3a² +  5a*5a² - 3a*5a  + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)

=15a⁴ - 9a³  + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8

= 15a⁴ - 9a³ + 25a³   + 12a² - 15a² - 10a²   + 20a +6a - 8

= 15a⁴ + 16a³  - 13a² +26a  - 8

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step-by-step explanation: