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

Find out more on polynomials at: link

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1