Question

if 1 is one of the zeros of the polynomial x^2-x+k, find the value of k.

Answer 1

Given 1 is one of the zeros of the polynominal.
Substitute the value of x as 1 in the given polynomial.

1-1+k= 0

k = 0

Answer 2

$\huge\sf\pink{Answer}$

☞ Value of k = 0

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$\huge\sf\blue{Given}$

➝ 1s a Zero of the polynomial x²-x+k

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$\huge\sf\gray{To \:Find}$

✭ The value of k?

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$\huge\sf\purple{Steps}$

❍ Given that 1 is a zero of the polynomial x²-x+k then P(x) = P(1)

$\scriptsize\tt{\qquad\dag\ Put \: the \: value \: of \: x = 1}$

$\normalsize\dashrightarrow\sf\ P(x) = x^2 - x + k$

$\normalsize\dashrightarrow\sf\ P(1) = (1)^2 - (1) + k$

$\scriptsize\tt{\qquad\dag\ P(x) \: is \: factor \: of \: g(x)}$

$\normalsize\dashrightarrow\sf\ (1)^2 - (1) + k= 0$

$\normalsize\dashrightarrow\sf\cancel{1} - \cancel{1} + k = 0$

$\normalsize\orange{\dashrightarrow\sf\ k = 0}$

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