The degree of the function f(x) = -(x + 1)2(2x − 3)(x + 2)2 is , and its y-intercept is

 The degree of the function is 5 and its y-intercept is (0, 12).

Step-by-step explanation:  We are given to find the degree and the y-intercept of the following polynomial function:

~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the degree, we need to find the highest degree term in the polynomial.

The expanded form of the given polynomial (i) is

Since the highest power of x is 5, so the degree of the polynomial is 5.

Now, the y-intercept of a quadratic equation is a point where the x co-ordinate is 0.

So, the y-intercept of the function will be found by substituting the value of x as 0.

So, from equation (i), we have

Thus, the degree of the function is 5 and its y-intercept is (0, 12).

y=mx+b

step-by-step explanation:

m slope, b y-intercept