Question

एक द्विघात बहुपद के शून्यकों का योग तथा गुणन क्रमशः 3 और -10 हैं। द्विघात बहुपद
है
(a) x2-3x+10 (b) +3x-10
(b) +3x-10 (c) x2-3x-10
(c) x2-3x-10 (d) x2 +3x +10​

Answer 1

Answer:

(c) x² - 3x - 10

Step-by-step explanation:

If ax² + bx + c = 0, then $x_{1} + x_{2} = \frac{-b}{a}$ and $x_{1}x_{2} = \frac{c}{a}$

~~~~~~~~~~

$x_{1} + x_{2} = 3$ ⇒ b = - 3 and a = 1

$x_{1}x_{2} = - 10$ ⇒ c = - 10 and a = 1

Thus, the polynomial should be

x² - 3x - 10