Question

prove that x-1 is a factor of x40-1​

Answer 1

Step-by-step explanation:

let x-1=0

x=1

P(x)=x40-1

=(1)40-1

=40-1

=39≠0

x-1 is not a factor of p(x)=x40-1

Answer 2

[Your question might be -

 Prove that x-1 is a factor of x⁴⁰ - 1 ]

Step-by-step explanation :

Let p(x) = x⁴⁰ - 1

(x-1) is a factor

⇒ (x-1) = 0

    x = +1

If (x-1) is a factor, then p(1) = 0

Put x = 1,

$p(x)= x^{40}-1 \\ p(1)=1^{40}-1 \\ p(1)= 1-1\\p(1)=0$

p(1) = 0

So,(x-1) is a factor of x⁴⁰ - 1