Question

find the remainder when the polynomial p(x)=x³-5x²+x-5is divided by 1-3x​

Answer 1

Answer:

According to remainder theorem, when f(x) is divided by (x−1), Remainder =f(1)

f(x)=4x

3

−5x

2

+6x−2

f(1)=4(1)

3

−5(1)

2

+6(1)−2

=4−5+6−2=10−7=3

∴ Remanider =3