Final answer:
To simplify the ratio of polynomials (w²-11w+30)/(2w²-2w-60), factor the numerator and the denominator, then cancel out common factors to get the simplified ratio (w-5)/(2(w+5)).
Step-by-step explanation:
To simplify the ratio of polynomials (w²-11w+30)/(2w²-2w-60), we can factor the numerator and the denominator.
The numerator factors to (w-5)(w-6) and the denominator factors to 2(w+5)(w-6).
Now, we can cancel out the common factor (w-6) from both numerator and denominator, resulting in (w-5)/(2(w+5)).
That is the simplified ratio.