Question
Question: If the trinomial x<sup>2</sup> + px + q has a minimum at x = 3 and minimum value is equal to 5, then...
If the trinomial x2 + px + q has a minimum at x = 3 and minimum value is equal to 5, then p and q are –
A
6, 14
B
– 6, 14
C
6, – 14
D
) None
Answer
– 6, 14
Explanation
Solution
f ¢ (x) = 2x + p
at x – 3 Ž 6 + p = 0 Ž p = – 6
Now minimum value is 5 Ž
5 = 9 – 18 + q Ž q = 14