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Delicious77 [7]
3 years ago
5

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

Mathematics
1 answer:
viktelen [127]3 years ago
3 0

Answer:

Degree:3

Y-intercept:-6

Step-by-step 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}  \times 2x \times 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 \times 0 - 3)}(0 +2 )

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

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