H(x)= 3x^4+2x—5/x+9x^3-7, is it a polynomial? If so write in standard form, degree, type, and leading coefficient.

The function H(x) = 3x⁴ + 2x — 5/x + 9x³ – 7 is not a polynomial function

What is a polynomial function?

A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non–negative integer powers or only positive integer exponents of a variable.

A polynomial with an exponent of 1 is, for instance, 2x+5.

The given polynomial in standard form is written as

H(x) = 3x⁴ + 2x — 5/x + 9x³ – 7

H(x) = 3x⁴ + 9x³ + 2x – 7 – 5x⁻¹

this shows that on of the term has a negative exponent 5x⁻¹ and hence not a polynomial

functionH(x) = 3x⁴ + 2x — 5/x + 9x³ – 7 is not apolynomial function## What is a polynomial function?

polynomial functionis a function in an equation, such as the quadratic equation, cubic equation, etc., that only usesnon–negative integerpowers or only positive integer exponents of a variable.polynomialwith an exponent of 1 is, for instance, 2x+5.standard formis written aspolynomialat: