Question

Divide using synthetic division.
-3x^3+11x^2-x+20 by (x-4).

Please show steps!

Answer 1

`-3x^(2) - x - 5`

Explanation:

Use the reverse of -4 as the divisor and multiply it with the coefficients of the polynomial. *** 4 is your divisor. ***

4| -3 11 -1 20

| ↓ -12 -4 -20

-3 -1 -5 0

• 4 * -3 = -12 Write the -12 beneath the 11, then add.

• 4 * -1 = -4, place it beneath -1, add.

• 4 * -5 = -20, place that beneath 20, add.

Next, replace the coefficients with the sums to get

`-3x^(2) - x - 5`

Answer 2

-3 11 -1 20
4 -12 -4 -20
-3 -1 -5 0
Bring down the -3,
Multiply -3 * 4
Add 11 and -12
Multiply -1 * 4
Add -1 and -4
Multiply -5 * 4
Add 20 and -20
Answer: The power is reduced by one from the
Dividend. -3x^2 – x - 5
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