Question

What is the zero of the zero polynomial ?​

Answer 1

Answer:

Zero Polynomial: The constant polynomial 0 is called as zero polynomial.

Zeroes of a Polynomial : The value of variable for which the polynomial becomes  zero is called as the zeroes of the polynomial.

For Example: Consider p(x) = x + 2. Find zeroes of this polynomial.

(i) If we put x = -2 in p(x), we get,

(ii) p(-2) = -2 + 2 = 0.

(iii) Thus, -2 is a zero of the polynomial p(x).

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Answer 2

$\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}$

What are zeros of zero polynomial.

$\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}$

$\color{red}{About \:Zeros\: :-}$

⇒ Zeros is the value of a variable.

⇒ When it is used in polynomial, the whole polynomial is converted to zero.

⇒ That is called the zeros of a polynomial.

⇒ Zero may be zeros of a polynomial.

⇒ Every linear polynomial has one and only one zeros.

$\color{red}{How \: to \:find \: zeros \:of \: linear \: polynomials\: :-}$

$number \: of \: zeroes = - 1 \\ p(x) = 2x + 3 \\ let \: \: p(x) = 0 \\ ∴ \: - \sqrt{ \frac{3}{2} } \: \: is \: the \: zeroes \: of \: p(x) = - \frac{3}{2}$

$\color{red}{Verification :-}$

$p(x) = 2x+ 3 \\ p( - \frac{3}{2} ) = 2 \times - \frac{3}{2} + 3 \\ = \: - 3 + 3 \\ = 0 \\ ∴ \: - \frac{3}{2} \: is \: the \: zeroes \: of \: p(x) \: = 2x+ 3 \: .$