find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficient.
t²-1

2 thoughts on “find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficient.<br />t²-1”

1. Answer:

   Therefore, the zeros of the quadratic polynomial are +√15=3.87 and −√15=−3.87.

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2. Finding zeroes:

   t² – 15 = t²-(√15)²

   0 = (t+√15)(t-√15)

   Therefore,

   t+√15= 0

   t = -√15

   t-√15 = 0

   t = √15

   Verification of the relationship:

   α + β = -b/a

   √15+(-√15) = -0/1

   0 = 0

   αβ = c/a

   (√15)(√15) = 15/1

   15 = 15

   Hence proved.

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