Math, asked by fawz7, 1 year ago

find the zeros of the polynomial :-
1) t²-15

Answers

Answered by Divyankasc
82
t² - 15 = 0
t² = 15
t = ± √15
That means that we have
t = - √15
or
t = + √15
Answered by mysticd
38

Answer:

 t=-\sqrt{15}\:Or\: t=\sqrt{15}\\ \: are \: two \: zeroes \: of \: given \:\\ polynomial \: p(t)

Step-by-step explanation:

Let\: p(t)=t^{2}-15

 Finding \: the \: zeroes \: of\\ \: p(t), \:is\: the\: same \:as \:solving\\ \:the\: equation\: p(t)=0

As \: t^{2}-15=0

\implies  \: t^{2}-(\sqrt{15})^{2}=0

\* we know the algebraic identity:

-b² = (a+b)(a-b) *\

\implies (t+\sqrt{15})(t-\sqrt{15})=0

\implies (t+\sqrt{15})=0 \\\: Or \:(t-\sqrt{15})=0

\implies t=-\sqrt{15}\:Or\: t=\sqrt{15}

Therefore,

 t=-\sqrt{15}\:Or\: t=\sqrt{15}\\ \: are \: two \: zeroes \: of \: given \:\\ polynomial \: p(t)

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