Final answer:
To find the result of dividing 3.23(4x^2 - x + 2) by x + 1, factor out the constant 3.23, then divide the polynomial by the binomial yielding 4x - 5, and finally multiply by 3.23, which gives 12.92x - 16.15. However, this is not reflected in the given options.
Step-by-step explanation:
The problem asks to divide a polynomial expression by a binomial, which can be solved using polynomial long division or synthetic division. However, since the question already presents potential answers with a pre-multiplied constant, it indicates that the solution requires factoring the constant out first before the division procedure. Here is the correct approach:
- First, factor out 3.23 from the polynomial expression, which gives:
3.23×(4x^2 - x + 2). - Next, divide the polynomial 4x^2 - x + 2 by x + 1, which yields 4x - 5. Remember to perform the division process step-by-step, subtracting the polynomials accordingly.
- Finally, multiply the result of the division (4x - 5) by the factored out constant 3.23.
The answer to what is the result when 3.23(4x^2 - x + 2) is divided by x + 1 is 3.23×(4x - 5), which simplifies to 12.92x - 16.15.