The product of the given polynomials is:
[tex]2a^4+5a^3-6a^2+19a-2[/tex]
Step-by-step explanation:
Given polynomials are:
[tex]a^2+3a-4\\and\\2a^2-a+5[/tex]
We will use the distributive property to multiply the polynomials
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\\Combining\ like\ terms\\=2a^4-a^3+6a^3+5a^2-3a^2-8a^2+15a+4a-20\\= 2a^4+5a^3-6a^2+19a-2[/tex]
Hence,
The product of the given polynomials is:
[tex]2a^4+5a^3-6a^2+19a-2[/tex]
Keywords: Polynomials, Expressions
Learn more about polynomials:
- brainly.com/question/4460262
- brainly.com/question/4464845
#LearnwithBrainly
