Use synthetic division to determine whether the first expression is a factor of the second.

Question

Use synthetic division to determine whether the first expression is a factor of the second. If it is, indicate the full factorizatio. 

 

A.) x-2, 3x^4 - 6x^3 - 5x + 10

B.) x+3, -4x^3 + 5x^2 + 8

Answer 1

Greetings! Lets solve this shall we ?

So, we must figure out what what the dividends are after applying the synthetic division method such that

2 |--------------------------------------

3 -6 0 -5 10

↓ 6 0 0 -10

---------------------------------------------

3 0 0 -5 0............Which translates into 3x³ - 5

-3|-----------------------------------------

-4 5 0 8

↓ 12 -51 153

-------------------------------------

-4 17 -51 161..............Which translates into (-4x²+17x-51) + (161/(x+3))

I hope this helped!