Final answer:
When multiplying (5x^3-x+4)(x+5), the highest exponent in the resulting expression is 4.
Step-by-step explanation:
When multiplying the expressions (5x3-x+4)(x+5), we distribute each term of the first expression to the terms of the second expression.
Using FOIL (First, Outer, Inner, Last) method, we get:
(5x3-x+4)(x+5) = 5x3(x) + 5x3(5) - x(x) - x(5) + 4(x) + 4(5)
Simplifying the terms:
5x4 + 25x3 - x2 - 5x + 4x + 20
Combining like terms:
5x4 + 25x3 - x2 - x + 20
The highest exponent in the resulting expression is 4, so the answer is x4.