Question

Question 2 (v)
Are the following statements ‘True’ or False’? Justify your answer.
v) If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the polynomial have the same sign.

Answer 1

(v) True, if $f\left(x\right)=a{x}^3+b{x}^2+cx+d$. then, for all negative roots, a, b, c and d must have same sign.