Question

Question 2 (i)
Are the following statements ‘True’ or False’? Justify your answer.
i) If the zeroes of a quadratic polynomial $a{x}^2+bx+c$ are positive then a, b and c all have the same sign.

Answer 1

(i) False, if the zeroes of a quadratic polynomial $a{x}^2+bx+c$ are both positive, then
$\alpha +\beta =-\frac{b}{a}and\alpha \beta =\frac{c}{a}$
Where $\alpha and\beta$ are the zeroes of quadratic polynomial
c < 0, a < 0 and b > 0
c > 0, a > 0 and b <0, These can also be the cases.