Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The degree of the function Fx) = -(x + 1)2(2x - 3)(x+ 2)? Is
1
, and its y-intercept is ( 0
,0
).

Answer 1

Degree:3

Y-intercept:-6

Explanation:

The given function is:

`f(x) = - {(x + 1)}^(2)( {2x - 3)}(x +2 )`

To find the degree, we multiply out the leading terms of each factor.

The leading term of the first factor is:

`- {x}^(2)`

and that of the second factor is

`2x`

and the third one is:

`x`

If we multiply out the leading terms, we would get:

`- {x}^(2) * 2x * x = - 2 {x}^(3)`

Therefore the degree of the function is:

3

To find the y-intercept, we put x=0 to get:

`f(0) = - {(0 + 1)}^(2)( {2 * 0 - 3)}(0 +2 )`

`\implies \: f(0) = ( 1)( - 3) * (2) = - 6`