 # Polynomial Long Division x^2-6x+8 and x-3

## Enter two polynomials to perform operations on:

<-- Enter Polynomial 1 (or Numerator)
<-- Enter Polynomial 2 (or Denominator)
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Using polynomial long division, evaluate the expression below:
 x2 - 6x + 8 x - 3

First, we write our expression in long division format and follow the steps below.

Step 1
1a)  Divide the first term of the dividend by the first term of the divisor → x2 ÷ x = 1x(2 - 1) = x
1b)  We multiply that part of the quotient by the divisor → x(x - 3) = x2 - 3x  →  Click here to see the Math for this Multiplication.
1c)  Subtract x2 - 3x from x2 - 6x + 8 to get -3x + 8  →  Click here to see the Math.

 x x - 3 x2 - 6x + 8 x2 - 3x -3x + 8

Step 2
2a)  Divide the first term of the dividend by the first term of the divisor → -3x ÷ x = -3x(1 - 1) = -3
2b)  We multiply that part of the quotient by the divisor → -3(x - 3) = -3x + 9  →  Click here to see the Math for this Multiplication.
2c)  Subtract -3x + 9 from -3x + 8 to get -1  →  Click here to see the Math.

 x - 3 x - 3 x2 - 6x + 8 x2 - 3x -3x + 8 -3x + 9 -1

We have a remainder leftover. We take our answer piece and remainder piece below