Question

need help plzzzzzzzzzzzzzzzzz


if 2 of the zeros of a cubic polynomial is zero then it does not have linear and constant term

true or false

justify......or else will be reported​

Answer 1

ASALAMULIQUM
here is your answer
Let the general cubic polynomial be ax3+bx2+cx+d=0. ... Since two zeroes of the cubic polynomial are zero then the equation will be ax3+bx2=0, this does not have linear term (coefficient of x is 0) and constant term.

Answer 2

Step-by-step explanation:

(1). Consider the cubic polynomial

Given that all the zeroes of cubic polynomial are negative.

Let –α, –β, – γ are the negative zeroes of cubic polynomial (where α, β, γ must be positive)

From (1), (2) and (3), we have –

All the coefficients and the constant term of the polynomial have the same sign.

Hence, given statement is true.

(2). Given polynomial is –

and all the three zeroes of this polynomial are given to be positive. zeroes of the polynomial.

Since α, β, γ are positive, so a must be negative.

and since α, β, γ are positive

⇒ c is positive or non-negative

Hence, exactly one of a, b, c is non-negative.

∴ the given statement is not true.

(3) Given polynomial is –

given condition is that p(x) has equal zeroes.

∴ Value of discriminant must be zero

∴ The given statement is not true.