Polynomials Q :( (1 Viewer)

[Scinery]

argh...

" If (x^2 + 3x - 4] divides [x^4 + 3x^3 + ax^2 + bx + 36],

find a & b and hence find all roots"



WORKED please.....i have no idea how to do it well i thought i did but its not working ><

the roots are ( if i remember correctly) 1, -1, 3, -3? i could be wrong. maybe a 4

~
EDIT: THANKYOU!

 

[Zeber]

(x^2+3x-4) = (x+4)(x-1)

sub x= -4 and x = 1 into the equation and equate it to 0.
you then have simulatenous equations for a and b.

once you find that, use factors of 36 and sub into the polynomial and then just use sum of roots/products etc. to find the roots.

if you're still lost, ill post up a solutionl

 

[Scinery]

ohk thank god yeap thats what i "thought was right but it didnt work"
i may have gotten incorrect answers of a and b,

maybe tell me values of a and b and ill see if i can do it?
thaaaankyou

 

[Zeber]

a = 13
b = 27