Question

if 2 is the zero of the polynomial xsquare-5x+k then find the Value of k

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Answer 1

Step-by-step explanation:

the value of k is 6

hope it helps

Answer 2

Given

• p(x) = x² - 5x + k
• 2 is the zero of the polynomial.

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To find

• Value of k.

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Solution

• Since 2 is the zero of the given polynomial, therefore we have to put the value of x = 2.

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$\tt\longrightarrow{p(2) = (2)^2 - 5(2) + k}$

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$\tt\longrightarrow{p(2) = 4 - 10 + k}$

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$\tt\longrightarrow{p(2) = k - 6}$

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$\large\bf{Putting} {\bigg\lgroup{p(x) = 0}{\bigg\rgroup}}$

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$\tt\longmapsto{k - 6 = 0}$

$\bf\longmapsto{k = 6}$

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Hence,

• Value of k is 6.

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