To divide 4x3 - 8x - 2 by x + 5 using synthetic division, the first step is to write __l__ __ __ __
The synthetic division is another way to divide a polynomial by the binomial x-c, where c is a constant.
Given polynomial is and we have to divide it by x+5.
Step 1) Set up the synthetic division.
First write given polynomial in decreasing order.
So we get,
And now set up the division,
Step 2) Bring down the leading coefficient to the bottom row.
Step 3) Multiply c=-5 by the value just written on bottom row and place this value right beneath
the next coefficient in the dividend.
Step 4) Add the column created in step 3. and write the sum in the bottom row.
Step 5) Repeat until done.
Step 6) Write the answer.
Step by step
Solved in 3 steps