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 Answer = x - 3 Remainder piece = Leftover answer divided by our denominator