Question

Write the equation of the graph shown below in factored form ​

Answer 1

Answer:

$f(x)=(x-3)^{2}(x-2)(x-1)$

Step-by-step explanation:

we know that

The roots (or x-intercepts) of the equation are

x=1 -----> with multiplicity 1

x=2 -----> with multiplicity 1

x=3 -----> with multiplicity 2 (because is a turning point)

so

The factors are

$(x-1), (x-2), (x-3),(x-3)$

The equation is equal to

$f(x)=(x-3)(x-3)(x-2)(x-1)\\ \\f(x)=(x-3)^{2}(x-2)(x-1)$