If $P(x) = x^3 + 5x^2 + 6x + 8$ yields the same remainder when divided by $(x - a)$ and $(x - b)$ where $a
eq b$, then

Question

If $P(x) = x^3 + 5x^2 + 6x + 8$ yields the same remainder when divided by $(x - a)$ and $(x - b)$ where $a 
eq b$, then:

Accepted Answer

$a^2 + b^2 + ab + 5a + 5b + 6 = 0$

Answer

$a + b = 0$

Answer

$ab = 6$

Answer

$a^2 - b^2 = 0$

If P(x)=x3+5x2+6x+8P(x) = x^3 + 5x^2 + 6x + 8P(x)=x3+5x2+6x+8 yields the same remainder when divided by (x−a)(x - a)(x−a) and (x−b)(x - b)(x−b) where a≠ba \neq ba=b, then: