Question

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

Answer 1

Degree = 5

Y intercept = 12

Explanation:

our function is given as

`f(x)=-(x+1)^2 \cdot (2x-3) \cdot (x+2)^2`

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

`f(0)=-(0+1)^2 \cdot (2(0)-3) \cdot (0+2)^2`

`f(0)=-(1)^2 \cdot (0-3) \cdot (2)^2`

`f(0)=-1 \cdot (-3) \cdot 4`

`f(0)=3 \cdot 4`

`f(0)=3 * 4`

`f(0)=12`

Hence the y intercept is 12 units