Question

If (x + 3) is a factor of 3x2 + kx 9, then k = ?

Answer 1

Answer:

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Step-by-step explanation:

If x+3 is a factor of the given equation then x = -3 must satisfy the equation.

Substituting the value x = -3 we get,

3(-3)^2 -3k + 9 = 0

3k = 36

k = 12

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Answer 2

Answer:

$x + 3 = 0 \\ x = - 3 \\ \\ 3x {}^{2} + kx - 9 = 0 \\ 3( - 3) {}^{2} - 3k - 9 = 0 \\ 3 \times 9 - 3k - 9 = 0 \\ 27 - 9 = 3k \\ 18 = 3k \\ \frac{18}{3} = k \\ k = 6$

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