Question

5)Obtain all zeroes of polynomial p(x)=x-3x-x+9x-6 of two of its zeroes are:(-3) and (13)
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Answer 1

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Q1)!Obtain all zeros of polynomial p(x)=x-3x-x+9x-6 of two of its zeros are (-3) and (13)

$\sf\huge\red{\underbrace{Answer :}}$

$\implies \displaystyle \sf{p(x) = x - 3x - x + 9x - 6}$

$\: \implies \displaystyle \sf{p (x) = - 2x - x + 9x - 6}$

$\: \implies \displaystyle \sf{p(x) = - 3x + 9x - 6}$

$\: \implies \displaystyle \sf{p(x) = 6x - 6}$

$\: \: \divideontimes\underline{ \boxed{ \bf \color{blue} \: put \: the \: value \: p( - 3) \: and \: p(13)}}$

$\ \\ \implies \displaystyle \sf{p(3) = 6( - 3) - 6 = - 18 - 6 = - 24}$

$\: \\ \implies \displaystyle \sf{p(13) = 6(13) - 6 = 78 - 6 = 72}$

$\: \: \underline {\boxed{ \bf \color{lightgreen} \: the \: value \: of \: p( - 3) = - 24 \: and \: p(13) = 72}}$