Question

If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the
polynomial have the ...
sign.
Thomair ofautione.​

Answer 1

Let the zeroes of Cubic Polynomial be -a, -b, -c.

We can say that at x = -a, -b, -c, p(x) = 0

i.e., p(x) = (x + a)(x + b)(x + c)

Now when we multiply the above equation, we get the coefficients and constants of the polynomial to be positive.

Answer 2

$\huge\star\frak{{Answer:-}}$

Let the zeroes of Cubic Polynomial be -a, -b, -c.

We can say that at x = -a, -b, -c, p(x) = 0

i.e., p(x) = (x + a)(x + b)(x + c)

Now when we multiply the above equation, we get the coefficients and constants of the polynomial to be positive.