Math, asked by unnatidangare002, 8 months ago

. If x - 3 is a factor of x³ - 3x² + Kx - 12 then the value of k is ​

Answers

Answered by ItzDvilJatin2
13

\huge\underline\bold\purple{ƛƝƧƜЄƦ}

Let p(x) = 0

\blue\starx - 3 = 0

\blue\starx = 3

put the value of x in the given equation

p(x) = x³ - 3x² + Kx - 12 = 0

p(3) = 3³ - 3(3)² + k(3) - 12 = 0

p(3) = 9 - 9 + 3k - 12 = 0

p(3) = 3k = 12

p(3) = k = 4

\small\boxed{k = 4}

Hope it helps

Answered by AnkitaSahni
0

The value of k is 4.

Given:

x - 3 is a factor of x³ - 3x² + Kx - 12.

To Find:

The value of k.

Solution:

To find the value of k we will follow the following steps:

As we know,

x-3 is the factor of the polynomial which means at x=3 the value of the polynomial is 0.

Now,

On putting the value of x = 3 we get,

  {x}^{3} { - 3}^{2}  + kx - 12 = 0

 {3}^{3} { - 3}^{2}  + 3k - 12 = 0

3k - 12 = 0

3k = 12

k =  \frac{12}{3}  = 4

Henceforth, the value of k is 4.

#SPJ3

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