Question

Explain zero of a polynomial.

Answer 1

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Here's your answer:

Explanation

For a polynomial, there could be some values of the variable for which the polynomial will be zero. These values are called zeros of a polynomial. Sometimes, they are also referred to as roots of the polynomials, In general, we use to find the zeros of quadratic equations, to get the solutions for the given equation.

Zeros of Polynomial Formula

Consider, P(x) = 4x + 5 to be a linear polynomial in one variable.

Let a be zero of P(x), then,

P(a) = 4k+5 = 0

Therefore, k = -5/4

In general, If k is zero of the linear polynomial in one variable; P(x) = ax +b, then

P(k) = ak+b = 0

k = -b/a

It can also be written as,

Zero of Polynomial K = -(Constant/ Coefficient of x) 

Hope this helps.

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