Final answer:
To find the sum of all coefficients of the polynomial (2x²-3x+1)¹¹, you evaluate it at x=1, which simplifies to (0)¹¹ or 0. The correct answer is a. 0.
Step-by-step explanation:
The sum of all coefficients in a polynomial expression can be found by evaluating the polynomial at x=1. When we substitute x=1 into the given expression (2x²-3x+1)¹¹, it simplifies to just the sum of the coefficients because each term of x reduced to 1 contributes to that sum.
To find the sum of all coefficients of (2x²-3x+1)¹¹, evaluate the expression at x=1. This gives us:
(2·(1)² - 3·(1) + 1)¹¹
(2 - 3 + 1)¹¹
Thus, the sum of all coefficients is simply (0)¹¹, which equals 0.
The correct answer is a. 0.