Final answer:
The remainder when 3x^2−7x+5 is divided by x+5 is 115.
Step-by-step explanation:
To find the remainder when 3x^2−7x+5 is divided by x+5, we can use the Remainder Theorem. According to the theorem, we substitute the negative value of the divisor into the polynomial and simplify the expression.
So, substituting -5 for x in 3x^2−7x+5 gives us:
3(-5)^2−7(-5)+5 = 75+35+5 = 115
The remainder when 3x^2−7x+5 is divided by x+5 is 115.