Question

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Define Zeroes of a polynomial.

Question is for ItzFrozenFlames
Let her answer.
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Answer 1

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What are zeros of zero polynomial.

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

⇒ 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.

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

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

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

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

Answer 2

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➺ The zero of the polynomial is defined as any real value of x, for which the value of the polynomial becomes zero.

➺ A real number k is a zero of a polynomial p(x), if p(k) = 0.

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