To divide (x^3 - 20x + 16) by (x - 4), you can use polynomial long division or synthetic division.
Here, I will demonstrate synthetic division:
Step 1: Write the coefficients of the dividend and divisor in descending order. For our problem, the coefficients are 1, 0, -20, and 16 for the dividend (x^3 - 20x + 16) and 1 and -4 for the divisor (x - 4).
Step 2: Set up the synthetic division like this:
4 | 1 0 -20 16
Step 3: Bring down the first coefficient (1):
4 | 1 0 -20 16
|-------
1
Step 4: Multiply 4 by 1 and write the result under the second column:
4 | 1 0 -20 16
|-------
1
4
Step 5: Add the numbers in the second column:
4 | 1 0 -20 16
|-------
1
4
------
1
Step 6: Multiply 4 by 1 and write the result under the third column:
4 | 1 0 -20 16
|-------
1
4
------
1
4
Step 7: Add the numbers in the third column:
4 | 1 0 -20 16
|-------
1
4
------
1
4
------
0
The result is 1x^2 + 4x + 0, which simplifies to x^2 + 4x.
Therefore, the division of (x^3 - 20x + 16) by (x - 4) is x^2 + 4x.
(x^3-20x+16) divided by (x-4)
help pls
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