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What is the remainder when 3x2−7x+5 is divided by x+5?

User Tglas
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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.

User Han Zhengzu
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