Math, asked by shavinash2016, 10 months ago

if -3 is one of the zeros of a polynomial (K - 1) close X square + kx + 1 find the value of k​

Answers

Answered by ritu16829
1

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Answered by warylucknow
0

The value of k is \frac{4}{3}.

Step-by-step explanation:

The polynomial is:

(k-1)x^{2}+kx+1=0

One of the roots of the polynomial is -3.

Then x = -3 will satisfy the equation.

Compute the value of k as follows:

(k-1)x^{2}+kx+1=0

(k-1)(-3)^{2}+k(-3)+1=0

9(k-1)-3k+1=0

9k-9-3k+1=0\\6k-8=0\\

k=\frac{8}{6}=\frac{4}{3}

Thus, the value of k is \frac{4}{3}.

Learn more:

https://brainly.in/question/2725732

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