If x-a is a factor of the difference of powers of equal odd exponent of the form x[tex]^{n}[/tex]-a[tex]^{n}[/tex] the signs of the second factor are:
A.
All negative

B.
All positive

C.
Alternating +, -, + ...

Respuesta :

Answer:

Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Both the first and second signs are negative,

Let α and β are the roots of the ,

then, we know that the relationship between the zeroes and coefficients of quadratic equations:

Since the product of roots is positive.

So, the signs of the factors will be one positive and one negative.

Hence, Option 'D' is correct.