Question

If p(x) is a polynomial if at least degree one and p(k) =0 then k is known as ___
Options:
A. Value of p(x)
B. Zero of p(x)
C. Constant term of p(x)
D. None

Answer 1

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 at 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 remainder theorem the remainder will be equals to 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 k is the zero of the polynomial.

Hence, k is the zero of p(x).

Option B is correct.

Answer 2

Answer:

option b is correct answer