Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]x^2-bx-c=0[/tex]
Both the first and second signs are negative,
Let α and β are the roots of the [tex]x^2-bx-c=0[/tex],
then, we know that the relationship between the zeroes and coefficients of quadratic equations:
[tex]\alpha+\beta =\frac{-b}{a}=b\\\\and\\\\\alpha \beta =\frac{-c}{a}=-c[/tex]
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.
