Answer:
The product of given binomial and trinomial is:
[tex]8x^3-34x^2-27x-9[/tex]
Step-by-step explanation:
A binomial is a polynomial with 2 terms and trinomial is a term with 3 terms.
Given
[tex](4x+3)\\and\\(2x^2-5x-3)[/tex]
Distributive property can be used to find the result.
Writing mathematically
[tex](4x+3)(2x^2-5x-3)\\= 4x(2x^2-5x-3)+3(2x^2-5x-3)\\= 8x^3-40x^2-12x+6x^2-15x-9[/tex]
Combining alike terms
[tex]= 8x^3-40x^2+6x^2-12x-15x-9\\= 8x^2-34x^2-27x-9[/tex]
Hence,
The product of given binomial and trinomial is:
[tex]8x^3-34x^2-27x-9[/tex]
