t^2-15
sum of zeroes
and
product of zeroes
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Step-by-step explanation:
Given -
- p(t) = t² - 15
To Find -
- Sum of zeroes
- Product of zeroes
Now,
→ t² - 15
→ (t)² - (√15)²
Using the identity of a² - b² = (a + b)(a - b), we get :
→ (t + √15)(t - √15)
Zeroes are -
→ t + √15 = 0 and t - √15 = 0
→ t = -√15 and t = √15
Then,
Sum of zeroes :-
→ -√15 + √15
→ 0
And
Product of zeroes :-
→ -√15 × √15
→ -15
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