Question

Write -3x^3(2x^2 + 7x^5) in standard form, classify the degree, and find the end behavior.

Answer 1

-6 x^5 -21 x^8
degree 8
if |x| is large the x^8 term dominates and power even 8 means always x^8 is +
if x is large negative you get big - and if x is large positive you also get big -

Answer 2

in standard form, that would be
-21x^8 - 6x^5

and since the highest-power term is even and has a negative coefficient,
y → -∞ as x → ±∞