Synthetic Division Lesson 1

Hi students! In this video I am explaining synthetic Division of Polynomials. Synthetic division is a technique to divide a polynomial with a linear binomial by only considering the values of the coefficients. Here are the steps involved in synthetic division:

1. Write down the coefficients of the dividend (the polynomial being divided) in descending order of degree, with the coefficient of the highest degree term in the leftmost column. If a coefficient is missing, add a zero in its place.
2. Write down the divisor (the polynomial dividing into the dividend) to the left of the table, with its coefficient negative.
3. Bring down the leading coefficient of the dividend (the one in the leftmost column) to the bottom of the table.
4. Multiply that number by the divisor’s coefficient and write the product in the next column.
5. Add the number in the second column to the next coefficient of the dividend and write the sum in the bottom of the second column.
6. Repeat steps 4 and 5 for each coefficient of the dividend until you reach the constant term.
7. The last number in the bottom row is the remainder.
8. The other numbers in the bottom row, read from left to right, are the coefficients of the quotient, in descending order of degree.