Divide Using Synthetic Division 4x^3-26x^2-17x+21 divided by x-7

Write the problem as a mathematical expression.

Place the numbers representing the divisor and the dividend into a division-like configuration.

The first number in the dividend ${\displaystyle \left(4\right)}$ is put into the first position of the result area (below the horizontal line).

Multiply the newest entry in the result ${\displaystyle \left(4\right)}$ by the divisor ${\displaystyle \left(7\right)}$ and place the result of ${\displaystyle \left(28\right)}$ under the next term in the dividend ${\displaystyle (-26)}$.

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Multiply the newest entry in the result ${\displaystyle \left(2\right)}$ by the divisor ${\displaystyle \left(7\right)}$ and place the result of ${\displaystyle \left(14\right)}$ under the next term in the dividend ${\displaystyle (-17)}$.

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Multiply the newest entry in the result ${\displaystyle (-3)}$ by the divisor ${\displaystyle \left(7\right)}$ and place the result of ${\displaystyle (-21)}$ under the next term in the dividend ${\displaystyle \left(21\right)}$.

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.