Question

For the quadratic equation \[ ax^{2} + bx + c = 0 \], what is the product of the middle-term numbers used in splitting the middle term?

पर्याय

• \[ a \times b \]

• \[ a \times c \]

• \[ b \times c \]

• \[ a \times b \times c \]

Answer 1

When splitting the middle term of \[ ax^{2} + bx + c = 0 \], the two chosen numbers have product \[ a \times c \]. Their sum equals \( b \), so they exactly reproduce the middle term.