Question

find the value of p for which x-1 is a factor of x^2-p

Answer 1

Answer:

Let,f(x)=x^2-p

Given,x-1 is a factor of x^2-p

now,f(x)=x^2-p

or,f(1)=0. {since x-1 is a factor, x=1}

or,(1)^2-p=0

or, 1-p=0

or, p=1 ans

Step-by-step explanation:

we know that, if x-a is a factor of p(x) then p(a)=0

or, x+a is a factor of p(x) then p(-a)= 0

HOPE THIS WILL HELP U