-1 is a zero of a polynomial p(x) p(x)=x^6+kx^4-x^3+3x Find k. square

Name: -1 Is a Zero of a Polynomial P(x) P(x)=x^6+kx^4-x^3+3x Find K. Square
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Question

Answer 1

To find the value of

such that

is a zero of the polynomial \( p(x) = x^6 + kx^4 - x^3 + 3x \), we need to substitute

into the polynomial and set it equal to zero.Given:

Substitute

:

Calculate each term:

Now, substitute these values back into the equation:

Since

is a zero of the polynomial, we have:

Therefore:

So, the value of

is:

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