My last question. This one is kind of hard to work out on a computer, so I understand if you don't want to answer it. Just typing out what to do first is alright, no need for drawings (unless you want to)
Factor
x^4+4x^3-52x^2+20x+75=0
Root given: -4+ (root) 31
It's supposed to be synthetic division.

Question

My last question. This one is kind of hard to work out on a computer, so I understand if you don't want to answer it. Just typing out what to do first is alright, no need for drawings (unless you want to)
Factor
x^4+4x^3-52x^2+20x+75=0
Root given: -4+ (root) 31
It's supposed to be synthetic division.

campbell_st · Answer

well just looking at it and a quick calculation (x + 1) is a factor since f(-1) = 0

the given root just indicates to me that 1 factor is a quadratic. 

so using the general quadratic formula you know that 

$$x = -4 + \sqrt{31}$$

then 

$$x + 4 = \sqrt{31}$$

so 

$$(x + 4)^2 = 31$$

by expanding and subtracting 31 you should be able to get the quadratic factor. 

all you need now is the other linear factor. 

hope this helps.

anonymous · Answer

Thanks a lot for your help! I'm now done with my math packet :) But I still have to study more for my final tomorrow.

campbell_st · Answer

good luck

anonymous · Answer

Thanks ^^