Question

if x+1 is a factor of the polynomial 3x square - kx then find the value of k​

Answer 1

Answer:

2

Step-by-step explanation:

Let p(x) = 2x2 + kx

Since, (x + 1) is a factor of p(x), then

p(-1)=0

2(-1)2 + k(-1) = 0

⇒ 2-k = 0 ⇒ k= 2

Hence, the value of k is 2.

Answer 2

$Let \: p(x) = 3x^{2} - kx$

$Given \: if \: (x+1) \: is \: a \: factor \: of \: p(x)$

$then \: p(-1) = 0$

$\implies 3(-1)^{2} - k(-1) = 0$

$\implies 3 + k = 0$

$\implies k = -3$

Therefore.,

$\red{ Value \: of \: k } \green { = -3 }$

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