Question

If f(x)=5x^(0)-3x-5, then what is the retuainder when f(x) is tiviteal liy x-2 ?

Answer 1

To find the remainder when f(x) is divided by x-2, we can use polynomial long division. After performing the necessary steps, we find that the remainder is 21.

Step-by-step explanation:

To find the remainder when f(x) is divided by x-2, we can use polynomial long division. Here are the steps:

1. Arrange the terms of f(x) in descending order of powers of x, giving us 5x^0 - 3x - 5.
2. Divide the first term, 5x^0, by x-2. This gives us 5.
3. Multiply 5 by x-2 and subtract the result from f(x): 5(x-2) = 5x - 10. Subtracting this from f(x) gives us -3x - 5 - (5x - 10) = -8x + 5.
4. Now we divide -8x by x-2, which gives us -8.
5. Multiply -8 by x-2 and subtract the result from -8x + 5: -8(x-2) = -8x + 16. Subtracting this from -8x + 5 gives us 21.

Therefore, the remainder when f(x) is divided by x-2 is 21.