t^2-15 find the zeros of the quadratic polynomials and verify the relationship between the zeros of the coefficient
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Step-by-step explanation:
Given -
- p(t) = t² - 15
To Find -
- Zeroes of the polynomial and verify the relationship between the zeroes and the coefficient .
Now,
→ t² - 15
→ (t)² - (√15)²
It is in the form of
- a² - b² = (a + b)(a - b)
→ (t + √15)(t - √15)
Zeroes are -
→ t + √15 = 0 and t - √15 = 0
→ t = -√15 and t = √15
Verification :-
As we know that :-
- α + β = -b/a
→ -√15 + √15 = -(0)/1
→ 0 = 0
LHS = RHS
And
- αβ = c/a
→ -√15 × √15 = -15/1
→ -15 = -15
LHS = RHS
Hence,
Verified...
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