Question

What the degree of the polynomial and the y-intercept

Answer 1

Fourth degree polynomial

Answer 2

Answer:

This is a fourth-degree polynomial

X-intercepts are - 5, -5, 3, and -3

The Y-intercept is 225

Step-by-step explanation:

Since it's already in the factored form you can find the zeros by separating each binomial and solving for x

x

2

−

25

=

0

x

2

=

25

x

=

±

5

x

2

−

9

=

0

x

2

=

9

x

=

±

3

so  

x

=

±

5

,

±

3

To find the y-intercept and the degree of the polynomial we need to convert the factored form into standard form

f

(

x

)

=

(

x

2

−

25

)

(

x

2

−

9

)

f

(

x

)

=

x

4

−

9

x

2

−

25

x

2

+

225

f

(

x

)

=

x

4

−

34

x

2

+

225

The degree of a polynomial is just the leading coefficients power which is 4 in this equation

In order to find the y-intercept we just need to allow  

x

=

0

because that is when any equation will cross the y-axis

f

(

x

)

=

0

4

−

34

(

0

)

2

+

225

f

(

x

)

=

225