Answer :

By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.

Define polynomial function.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. f(x) = anxn + anxn+1 +... + a² + a¹x + a⁰ is the formula for a polynomial. The greatest power of x in an expression is the polynomial's degree. Polynomials of degree 0, 1, 2, 3, and 4 are constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively.

Given,

Polynomial function,

-125w² + 180 = 0

-125w² = -180

w² = 180/125

w² = 1.44

Squaring,

w = √1.44

w = 1.2

By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.

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