State the degree the number of terms and describe the longru

State the degree, the number of terms, and describe the long-run behavior of the polynomial below. y = (x + 5)(2x - 6)(4 - x). Its degree is (enter as a number) The number of terms is (enter as a number) Type INFINITY and -INFINITY to enter infinity or -infinity when describing the long-run behavior: y rightarrow as x rightarrow infinity y rightarrow as x rightarrow -infinity

Solution

y=(x+5)(2x-6)(4-x)

Here number of terms =3

y=-2x^3 +4x^2+46x-120

Here the highest exponent is 3.Therefore degree is 3 .

Leading coefficient is -2 which is negative and degree is odd

x->infinity f(x)-> -infinity

x->-infinity f(x)-> infinity