Question

check wheather (x-1) is a factor of x^4 -x^3+2x^2+x or not ? ​

Answer 1

Answer:

No

Step-by-step explanation:

By factor theorem, if a polynomial p(x) is divided by another linear polynomial (x-a), if p(a)=0 then x-a is a factor of p(x).

here x-a=x-1, so a=1

p(1)= 1^4-1^3+2(1)^2+1

= 1-1+2+1

= 3

since p(1) is not equal to 0, therefore x-1 is not a factor of this polynomial

Hope it helps!