Question

If p(x)=kx, k is not equal to 0. Then zero of P(x) is
I want the answer with clear explanation
please​

Answer 1

Kx = 0

if k is not equal to zero then x must be zero

so 0 is it's one and only zero

Answer 2

The zero of p(x) is x = 0.

Given:

p(x) = kx, k≠0.

To Find:

The zero pf p(x).

Solution:

A linear equation is an equation having the highest power of the variable as 1. Hence, our given equation, p(x) = kx.

The zeros or roots of a polynomial p(x) is the value of x such that p(x) = 0.

Let us find the zero of p(x) = kx by equating it with 0.

p(x) = kx = 0

⇒ Either k = 0 or x = 0.

But we have been given that k≠0.

⇒ x = 0.

Whenever x = 0, p(x) = kx = 0.

Hence x = 0 is the zero of p(x) = kx.

∴The zero of p(x) is x = 0.

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