Question
Question: If f(x) = 2x<sup>3</sup> + mx<sup>2</sup> – 13x + n and 2, 3 are roots of the equation f(x) = 0, the...
If f(x) = 2x3 + mx2 – 13x + n and 2, 3 are roots of the equation f(x) = 0, then the values of m and n are –
A
–5, –30
B
–5, 30
C
5, 30
D
None of these
Answer
–5, 30
Explanation
Solution
f(2) = 0 Ž 16 + 8 m – 26 + n = 0
f(3) = 0 Ž 54 + 9 m – 39 + n = 0
m = – 5, m = 30