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 RX) = -(x+1)?(2x - 3)(x + 2)2 is

t

, and its y-Intercept is (

Answer 1

Degree = 5

y-intercept = (0,12)

Explanation:

Consider the given function is

`R(x)=-(x+1)^2(2x-3)(x+2)^2`

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.

`R(0)=-(0+1)^2(2(0)-3)(0+2)^2`

`R(0)=-(1)^2(-3)(2)^2`

`R(0)=-(1)(-3)(4)`

`R(0)=12`

Therefore, y-intercept of the above function is (0,12).