Question

The polynomial p(x)=x^4-2x^3-13x^2+kx+24 give remainder 24 when divided by (x-1) find k and hence factorise

Answer 1

Answer:

x-1=0

x=1

so,p(x)=1

remainder=24

Step-by-step explanation:

p(1)=x⁴-2x³-13x²+Kx+24=24

=(1)⁴-[2×(1)³]-13×(1)²+k×1+24=24

=1-2-13-k+24=24

=25-15-k=24

=25-15-24=k

=25-39=K

=-14=K

I HOPE IT IS HELPFUL TO YOU ☺️