Using polynomial long division, evaluate the expression below:
x^{2}  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 → x^{2} ÷ x = 1x^{(2  1)} = x 1b) We multiply that part of the quotient by the divisor → x(x  3) = x^{2}  3x → Click here to see the Math for this Multiplication. 1c) Subtract x^{2}  3x from x^{2}  6x + 8 to get 3x + 8 → Click here to see the Math.
x
x

3
x^{2}

6x
+
8
x^{2}

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
x^{2}

6x
+
8
x^{2}

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
1
x  3
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Free Algebra Master (Polynomials) Calculator  Given 2 polynomials this does the following: 1) Polynomial Addition 2) Polynomial Subtraction
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Polynomials with matching variables and exponents may be added or subtracted together ax^2 + bx^2 = (a + b)x^2 ax^2  bx^2 = (a  b)x^2