Question

find the zeroes of the following
quadratic polynomials and verify the relationship between
the zeroes and the coefficients
(v) t²-15​

Answer 1

Answer:

t² – 15

Factorize the equation

t² – 15 = 0

Add 15 both side we get

t² = 15

Take square root both side

t= ± √15

First zero is                                √15

second zerois                           -  √15

Sum of zero               √15 - √15        = 0

Product of zero           √15 x -√15      = -15

Compare the equation with at² + bt  +c = 0

We get

a = 1, b = 0, c = -15

Sum  of zero              -b/a     = -(0/1)  = 0

Product of zero           c/a      =  -15/1 =  -15

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