Divide using synthetic division. ( x^4-12x^2-9)/(x+3)
1 answer:
Answer:
x^3 - 3x^2 - 3x + 9 + (-36/(x+3))
OR
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
Answer:
An explicit expression is equal to 3m/8
Step-by-step explanation:
we know that
Function T gives the time the Hobbits have to prepare for the attack, T(k), in minutes, as a function of troll's distance, k, in meters
so
Function V gives visibility from the watchtower, V(m), in meters, as a function of the height of the watchtower, m, in meters
so
Find the composite figure
That will give the time the Hobbits have to prepare for the troll attack as a function of the height, m, of the watchtower
Substitute the variable k in the function T by the function V(m)
simplify
therefore
An explicit expression is equal to 3m/8
For every x you see in the f function you will replace with the h function
