Question

Check Whether (x-10) is a factor of x³-23x²+142x-120 or not​

Answer 1

Answer:

let P(x)=x³-23x²+142x-120

if x-10 a factor of given polynomial P(X),

p(10)=0

Now,p(x)=x³-23x²+142x-120

P(10)=10³-23×10²+142×10-120

=1000-2300+1420-120

=2420-2420

=0

since,p(10)=0

so, X - 10 is a factor given polynomial