Question

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

Answer 1

t² - 15 = 0
t² = 15
t = ± √15
That means that we have
t = - √15
or
t = + √15

Answer 2

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:

a²-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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