Question

Find the value of k in 2x² + kx +6. Given that one of it root is 2.

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$k = - 7$

Step-by-step explanation:

$p(x) = 2 {x}^{2} + kx + 6 \\ \\ if \: 2 \: is \: the \: root \: of \: p(x) ,\\ \\ then \: p(2) = 0 \\ \\ 2 \times {2}^{2} + 2 \times k + 6 = 0 \\ \\ 2 \times 4 + 2k + 6 = 0 \\ \\ 8 + 6 + 2k = 0 \\ \\ 14 + 2k = 0 \\ \\ 2k = - 14 \\ \\ k = \frac{ - 14}{2} = - 7$

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