MathDB

a_2 \neq 0

and

r

and

s

are the roots of a_0 \plus{} a_1x \plus{} a_2x^2 \equal{} 0, then the equality a_0 \plus{} a_1x \plus{} a_2x^2 \equal{} a_0\left (1 \minus{} \frac {x}{r} \right ) \left (1 \minus{} \frac {x}{s} \right ) holds:

<span class='latex-bold'>(A)</span>\ \text{for all values of }x, a_0\neq 0

<span class='latex-bold'>(B)</span>\ \text{for all values of }x

(C)\ \text{only when }x \equal{} 0 (D)\ \text{only when }x \equal{} r \text{ or }x \equal{} s (E)\ \text{only when }x \equal{} r \text{ or }x \equal{} s, a_0 \neq 0

Problem Statement