The product of given polynomials is:
[tex]2a^4+5a^3-6a^2+19a-20[/tex]
Step-by-step explanation:
Distributive multiplication will be sued to multiply the given polynomials
Given expressions are:
[tex]a^2+3a-4\\and\\2a^2-a+5[/tex]
So,
[tex](a^2+3a-4)(2a^2-a+5)\\= a^2(2a^2-a+5)+3a(2a^2-a+5)-4(2a^2-a+5)\\=2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20[/tex]
Combining like terms
[tex]2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20\\=2a^4-a^3+6a^3+5a^2-3a^2-8a^2+15a+4a-20\\= 2a^4+5a^3-6a^2+19a-20[/tex]
Hence,
The product of given polynomials is:
[tex]2a^4+5a^3-6a^2+19a-20[/tex]
Keywords: Polynomials, expressions
Learn more about polynomials at:
- brainly.com/question/4639731
- brainly.com/question/4655616
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