Final answer:
The last term of the factored polynomial is -32,000.
Step-by-step explanation:
The last term of the factored polynomial f(x) = x4(2x-5)3(x2+x)(x-4)4 can be found by multiplying the numerals and variable terms inside each pair of parentheses.
First, we can calculate the last term of (2x-5)3 by multiplying the constant terms -5* -5* -5=-125.
Next, by multiplying all the terms inside the parentheses, we get the last term of (x-4)4 which is -4* -4 * -4* -4 = 256.
Finally, we multiply all the results together to find the last term of the factored polynomial, which is -125 * 256 = -32,000.
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