Question

Check whether 3 and -2 are the zeros of the polynomial P(X) when P(x) = x2

-x-6.​

Answer 1

$\huge\sf\pink{Required Answer :-}$

Given: Check whether 3 and -2 are the zeros of the polynomial P(x) when P(x) = x²-x-6.

Solⁿ:

${x}^{2} - x - 6 \\ \\ putting \: p(x) = 3 \\ \\ {3}^{2} - 3 - 6 = 0 \\ \\ 9 - 3 - 6 = 0 \\ \\ 9 - 9 = 0 \\ \\ 0 = 0 \\ \\ so.p(x) = 3 \: \: is \: \: a \: zero \: \: of \: \: it. \\ \\ now. \\ \\ p(x) = - 2 \\ \\ {2}^{2} - 2 - 6 = 0 \\ \\ 4 - 2 - 6 = 0 \\ \\ - 4 = 0 \\ \ \\ the \: \: p(x) = - 2 \: \: is \: \: not \: \: a \: \: zero \: \: of \: \: this \: .$

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