Question

Find the value of ‘k’ if (x+2) is the factor of p(x) = 3kx – x2 + 7 .​

Answer 1

Answer:

$\frac{11}{6}$

I will tell you how it came.

Step-by-step explanation:

if x+2 is a factor of

$3kx + {x}^{2} + 7$

then; x+2= 0

x = -2

Substitute x value in the given quadratic expression.

$3kx + {x}^{2} + 7 = 0$

$3k( - 2) + {( - 2)}^{2} + 7 = 0$

$- 6k + 4 + 7 = 0$

$11 = 6k$

$k = \frac{11}{6}$

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