Question

The values of k for which k x^2 - 4 x - 1 can be factorized into real linear factors, are
k < 4
k ≥ -4
k ≤ -6
k < -4

Answer 1

Answer:

option 2 is the ans mate

Step-by-step explanation:

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Answer 2

$Compare \: given \: Quadratic \: polynomial$

$kx^{2}-4x-1 \:with \: ax^{2} + bx + c , we \:get$

$a = k , b = -4 \:and \:c = -1$

$Discreminant (D) \geq 0$

$\blue{ ( Given , roots \:are \:real ) }$

$\implies (-4)^{2} - 4 \times k \times (-1) \geq 0$

$\implies 16+4k \geq 0$

$\implies 4k \geq -16$

$\implies k \geq \frac{-16}{4}$

$\implies k \geq -4$

Therefore.

$Option \: \pink{(b)} \:is \: correct$

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