Divide using synthetic division. ( x^4-12x^2-9)/(x+3)

Mathematics

1 answer:

Firdavs [7]3 years ago

6 0

Answer:

x^3 - 3x^2 - 3x + 9 + (-36/(x+3))

x^3 - 3x^2 - 3x + 9 - (36/(x+3))

Step-by-step explanation:

First set the divisor equal to 0:

x + 3 = 0

Subtract 3 from both sides

x = -3

This is what you'll divide the dividend by in synthetic division.

Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:

x^4 + 0x^3 - 12x^2 + 0x -9

Coefficents: 1. 0. -12. 0 -9.

Please see the image for the next steps.

The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)

-36/(x+3)

You might be interested in

Mike is giving roses to some children at a carnival. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a ro

Kaylis [27]

7 red, 8 yellow, 9 white......total = 24 roses

probability first pick is white : 9/24
probability second pick is yellow : 8/23

probability of both : 9/24 * 8/23 = 72/552 reduces 3/23 <====

7 0

4 years ago

Read 2 more answers

The experimental probability that it will snow on any day in Maine during the month of January is about 19% Out of the 31 days,

Alenkasestr [34]

Answer:

9. The experimental probability that it will rain on any given day in Houston Texas is about 15%. Thus, out of 365 days, 15% of that are the predicted days the it will rain in the Place. => 365 days is the total number of days in a year => 15% is the predicted days to rain => 365 * .15 = 54.75 Since this is a decimal number, let’s round this off to 55 days. Why 55 because the value of tenths is more than 5

Step-by-step explanation: hope this helps

6 0

3 years ago

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t

likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

$P =25000$ -- the principal amount