Question

find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficient.
t²-15​

Answer 1

Answer:

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

Answer 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.