Final answer:
The question is about the application of exponents in polynomial functions, specifically pertaining to powers with negative exponents and multiplication of powers with the same base. This involves algebraic techniques like completing the square and using the quadratic formula to solve for the roots.
Step-by-step explanation:
Understanding Polynomial Functions and Exponents
The question pertains to a polynomial function P(-3) and involves the concept of exponents. When dealing with an expression like x-n, where n is a positive integer, it is equivalent to 1/xn. For example, 3-4 would equal 1/34 or 1 over (3 multiplied by itself four times).
When multiplying powers with the same base, such as 32 · 35, you add the exponents, resulting in 3(2+5) or 37. Similarly, the polynomial function in question can be transformed using various algebraic methods, such as completing the square or using the quadratic formula to find its roots.
Polynomial equations of the form ax2 + bx + c = 0 can be graphically represented, helping to visualize the solutions or roots of the equation