Answer:
Degree = 5
Y intercept = 12
Step-by-step explanation:
our function is given as
[tex]f(x)=-(x+1)^2 \cdot (2x-3) \cdot (x+2)^2[/tex]
in the above polynomial our variable is x and it is being multiplied for 5 times. Hence the probable degree for the above polynomial is 5
In order to find the y intercept , we need to put x=0 in f(x) as y intercept is the point at which the function graphically meets y axis and where x = 0
Hence
[tex]f(0)=-(0+1)^2 \cdot (2(0)-3) \cdot (0+2)^2[/tex]
[tex]f(0)=-(1)^2 \cdot (0-3) \cdot (2)^2[/tex]
[tex]f(0)=-1 \cdot (-3) \cdot 4[/tex]
[tex]f(0)=3 \cdot 4[/tex]
[tex]f(0)=3 \times 4[/tex]
[tex]f(0)=12[/tex]
Hence the y intercept is 12 units
