Question

08. If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known
as
(a) value of p(x)
(b) zero of p(x)
(c) constant term of p(x)
(c) none of these​

Answer 1

Answer:

As given p(x) is a polynomial of at least degree 1 i.e highest power of variable x is at least one. As 0 is the remainder that means (x-k) completely divides the polynomial and we can say k is the zero of the polynomial. Hence, k is the zero of p(x).

Answer 2

Answer:

k is the zero of p(x).

option B is correct.

step by step explanation:

given that if p(x) is a polynomial and p(k) = 0.

we have to find the term by which k is called.

as given p(x) is a polynomial of a least degree 1 I.e.highest power of variable x is at least one and also p(k) = 0.

let p(x) = bx+c, where b can't be 0.

and p(k)=0.

then by the remainder theorem the remainder will be equal to zero(0) , when the above polynomial is divided by x-k.

As 0 is the remainder that means (x-k) completely divides the polynomial and we can say that K is the zero of the polynomial.

ANSWER;- [ OPTION B] ZERO OF THE P(X).

HOPE IT HELPS YOU..........

PLEASE MARK IT AS A BRAINLIEST ANSWER..........