Question

Find the zero for the polynomial function and give the multiplicity for each zero. State whether the graph crosses to x axis or touch the x axis and turn around, at each zero.

Answer 1

we have the function

f(x)=2(x-6)(x-7)^2

REmember that the zeros of the function are the values of x when the value of the function is equal to zero

In this problem

the zeros of the function are

x=6 -------> multiplicity 1 (the graph crosses to x axis)

x=7 ----- multiplicity 2 (touch the x axis and turn around)

see the attached figure to better understand the problem