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Answer» Here is UR answer!!
We can solve this PROBLEM by undetermined coefficient method.
Please expand this,
➡️ (x^2+ax+b) (x^3+cx^2+dx+e)=
And we get,
➡️ x^5
= +ax^4+cx^4
= +acc^3+bx^3+dx^3
= +adx^2+bcx^2+ex^2
= +eax+bdx
= +eb
Actually those above are already grouped by the similar degree, then we can arrange the simultaneous Eq, by the similar coeff, like this below,
⬇️⬇️⬇️
a+c=0
ac+b+d=0
ad+bc+e=0
ae+bd=1
eb=1
In this case i assume you can solve those SIM. Lin. Eq, five unknown var, and 5 equation.
Then we get,
➡️ a=1, b=1, c=-1, d=0 and e=-1
⏩ (x^2+x+1) (x^3-x^2+1) ➡️ is the factorization
So, the answer is (ii)
x^3-x^2+1 ✔️
Have fun
Faithfully yours,
DivaSept
(If you STILL didn't understand, you can ask more in the other uploading QUESTION)
May be usefull ^_^
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