For the polynomial function ƒ(x) = x4 −25x2, find the zeros. then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

ANSWER

The zeros are

EXPLANATION

Given;

.

We can rewrite the function as

The zeros are found by equating the function to zero.

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is

Or

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is

Or

This last root has a multiplicity of 2.

That is

repeats two times.

Since the multiplicity is even, the graph touches the x-axis at the point .

See graph.

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.