Question

What is the value of polynomial x2 + 8x + k, if-1 is a zero of the polynomial?​

Answer 1

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What is the value of k in the polynomial x² + 8x + k, if-1 is a zero of the polynomial?

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Given :-

• Polynomial = x² + 8x + k
• Zero of the polynomial = -1

To find :-

• Value of k in the polynomial

$\bold{\implies {x}^{2} + 8x + k = 0}$

$\bold{\implies \: {( - 1)}^{2} + 8( - 1) + k = 0}$

$\bold{\implies1 +( - 8) + k = 0}$

$\bold{\implies1 - 8 + k = 0}$

$\bold{\implies - 7+ k = 0}$

$\color{green}\bold{\implies \: k ={ \underline{ 7}}}$