polynomials qn (1 Viewer)

[Masaken]

how would you go about solving this? thanks in advance

 

[yanujw]

P(x)/(x^2+x) by polynomial division, and then u will get the remainder.

 

[fx82au]

yeah what yanujw said. The answer should be -2

 

[Masaken]

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!!

 

[Sstormwolf22]

I think you can still use remainder theorem?

Factorise the divisor into

Using remainder theorem in the original polynomial, we know that:
and

Using the polynomial in division form:


We know that
, so sub it into the divison form to get:



( does not work since which does not enable you to solve for a)