Apolynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). write a function in standard form

The equation of the polynomial in standard form is f(x) = x⁴ - 12x³ + 48x² - 64x

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Given that a polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1).

Let f(x) represent the polynomial.

Hence: x = 4, x = 4, x = 4, x = 0

x - 4 = 0, x - 4 = 0, x - 4 = 0, x = 0

f(x) = (x - 4)(x - 4)(x -4)(x)

f(x) = x² - 8x + 16(x - 4)(x)

f(x) = (x³ - 4x² - 8x² + 32x + 16x - 64)x

f(x) = (x³ - 12x² + 48x - 64)x

f(x) = x⁴ - 12x³ + 48x² - 64x

The equation of the polynomial in standard form is f(x) = x⁴ - 12x³ + 48x² - 64x

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step-by-step explanation:

the height of the surface increases from the center out to the sides of the road

it is c!