Question

if x-3 is a factor of x^2+4px-11 then find value of p

Answer 1

❣️Hi friend ❣️

x-3 is a factor than +3 is a factor

${x}^{2} \: + 4px - 11 \: - - - - 1 \\ \\ put \: + 3 \: in \: eq \: 1 \\ \\ {x }^{2} + 4px- 11 = 0 \\ \\ {3 }^{2} + 4p3 - 11 = 0 \\ \\ 9 + 12p - 11 = 0 \\ \\ 12p = 2 \\ \\ p = \frac{2}{12} \\ \\ \: p = \frac{1}{6} \: \:$

Hence p = 1/6

Verification -- 9 +12 ×1/6 -11
=11-11 =0

Thanks ↖️❣️❣️