Question

without actual division, prove that p(x)=x⁴+2x³-2x²+2x-3 is exactly divisible by q(x)=x²+2x-3​

Answer 1

Answer:

Hence by converse of factor theorem, (x + 3) is a factor of p(x). Hence by converse of factor theorem, (x - 1) is a factor of p(x).