Find the zeroes of the quadratic polynomial t 2 - 15 and verify their relationship between zeroes and coefficients.
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Let f(x) = t2 – 15
Therefore, the zeroes of t2– 15 are √15 and – √15.
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Let f(x) = t2 – 15 Now, if we recall the identity (a2 – b2) = (a – b)(a + b)
Using this identity,
we can write t2 – 15 = (t – √15) (x + √15)
So, the value of t2– 15 is zero when t = √15 or t = – √15
Therefore, the zeroes of t2– 15 are √15 and – √15.
Itz Harsh
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