Answer:
Degree = 5
y-intercept = (0,12)
Step-by-step explanation:
Consider the given function is
[tex]R(x)=-(x+1)^2(2x-3)(x+2)^2[/tex]
We need to find the degree of given function and its y-intercept.
Degree of a polynomial : The highest exponent in the polynomial is called the degree of the polynomial.
To find the degree of the polynomial we can add power of factors.
Degree of polynomial R(x) = 2+1+2 = 5
Therefore, the degree of the given polynomial is 5.
Substitute x=0 in the given function to find the y-intercept.
[tex]R(0)=-(0+1)^2(2(0)-3)(0+2)^2[/tex]
[tex]R(0)=-(1)^2(-3)(2)^2[/tex]
[tex]R(0)=-(1)(-3)(4)[/tex]
[tex]R(0)=12[/tex]
Therefore, y-intercept of the above function is (0,12).
