Masaken
Unknown Member
how would you go about solving this? thanks in advance
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polynomials qn (1 Viewer)
- Thread starter Masaken
- Start date
how would you go about solving this? thanks in advance
Masaken
Unknown Member
yeah oops, i think i had a mindblank there (looking back i think i was thinking about the remainder theorem even though the remainder theorem is only for linear factors 
). thank you!!
). thank you!!
Sstormwolf22
New Member
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- Feb 27, 2021
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- HSC
- 2023
I think you can still use remainder theorem?
Factorise the divisor into)
Using remainder theorem in the original polynomial, we know that:
=3)
and =5)
Using the polynomial in division form:
=x(x+1)Q(x) + (ax+3))
We know that
, so sub it into the divison form to get:
+3)
( does not work since 
which does not enable you to solve for a)
Factorise the divisor into
Using remainder theorem in the original polynomial, we know that:
Using the polynomial in division form:
We know that
(