What is the quotient (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
x2 – 2x – 3
x2 + 2x + 7
x2 – 3x + 8
x2 – 2x + 3

We are going to perform long division to find the quotient o our division.

Let's checks the steps to perform our long division:

Step 1. Write the dividend in descending order (from greatest to least exponent).

Since our dividend is already written in descending order, we have to do nothing.

Step 2. Divide the first term of the dividend by the first term of the divisor.

The first term of our dividend is and the first term of our divisor is , so .

will be the first term of our quotient.

Step 3. Multiply the term of the quotient, form step 2, by the terms of the divisor, and then subtract the respective products from the dividend.

term of the quotient form step 2

divisor

Subtract from the term with the same exponent of the dividend ():

Subtract from the respective term of the dividend ():

Step 4. Bring down the next term of the dividend and repeat the whole process until you get to the last term of the dividend.

After completing the long division (check the attached picture), we can conclude that the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1) is ; therefore, D is the correct answer.

the radius is 2 times the diameter.

step-by-step explanation: