Question

HEY GENIUS ! PLZZ ANYONE ANSWER THIS,
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Answer 1

$\huge \boxed{ \underline{ \underline{ \bf{Answer}}}}$

A]

$\sf{ \: p(x) = \: 2 {x}^{2} + x + k}$

Zero of p(x) = 3

To Find :

Value of k.

PROCESS :

$\implies \: \sf{ \: p(x) = \: 2 {x}^{2} + x + k} = 0$

Putting the value of zero of the p(x), we get

$\implies \: \sf{ \: p(3) = \: 2 {(3)}^{2} + (3) + k} = 0$

$\implies \: 18 + 3 + k = 0$

$\boxed{ \sf{ \implies \: k \: = \: - 21}}$

B]

$\sf{ \: p(x) = \: 3{x}^{2} + 4x + 2k}$

Zero of p(x) = -2

To Find :

Value of k

Process :

$\implies \: \sf{ \: p(x) = \: 3 {x}^{2} + 4x + 2k} = 0$

Putting the value of zero of the p(x) we get

$\implies \: \sf{ \: p( - 2) = \: 3 { (- 2)}^{2} + 4( - 2) + 2k} = 0$

$\sf{\implies \: 12 - 8 + 2k = 0}$

$\sf{\implies \: 4 + 2k = 0}$

$\boxed {\sf{\implies \: k = - 2}}$

Answer 2

K=-2.

Hope it helps you...