Question

Maximum numbers of zeroes in polynomial 3x³ + 2x⁴ – 4x + 45 are ​

Answer 1

SOLUTION

TO DETERMINE

The Maximum numbers of zeroes in polynomial 3x³ + 2x⁴ – 4x + 45

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

Polynomials have no variables in denominators or exponents, no roots or absolute values of variables, and all variables have whole number exponents

EVALUATION

Here the given polynomial is 3x³ + 2x⁴ – 4x + 45

Which can be rewritten as

2x⁴ + 3x³ – 4x + 45

So the degree of the polynomial = 4

Now for a given polynomial, the maximum number of zeroes = Degree of the polynomial

Hence the Maximum numbers of zeroes in polynomial 3x³ + 2x⁴ – 4x + 45 is 4

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