Question

Find the product of the binomial (4x+3) with the trionomial (2x square -5x -3)

Answer 1

The product of given binomial and trinomial is:

`8x^3-34x^2-27x-9`

Explanation:

A binomial is a polynomial with 2 terms and trinomial is a term with 3 terms.

Given

`(4x+3)\\and\\(2x^2-5x-3)`

Distributive property can be used to find the result.

Writing mathematically

`(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`

Combining alike terms

`= 8x^3-40x^2+6x^2-12x-15x-9\\= 8x^2-34x^2-27x-9`

Hence,

The product of given binomial and trinomial is:

`8x^3-34x^2-27x-9`