Question

find the zeroes and verify the relationship between the zeroes and the coefficient p(t)=t²-15​

Answer 1

Step-by-step explanation:

t²= 15

$t = +-\sqrt{15}$

zeroes of the polynomial are rt 15.

$verifying \: the \: zeroes \: of \: the \: polynomial \\ sum \: of \: the \: zeroes = \frac{ - b}{a} = \frac{0}{15} = 0 \\ \sqrt{15} - \sqrt{15} = 0 \\ hence \: verified$

$product \: = \frac{c}{a} = \frac{ - 15}{1} \\ \sqrt{15} \times - \sqrt{15} = - 15$

hence verified.