3x + 1 − 4x3 + 6x6 −2x2 standard form
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The leading term of polynomial function is the the term contain highest degree so here in the given question leading term is
and leading coefficient is the coefficient of the term with greatest exponent -3
RULES for End behaviour
we have following four cases
CASE1: Even degree and positive leading coefficient
CASE2: Even degree and negative leading coefficient
CASE3: Odd degree and positive leading coefficient
CASE4: Odd degree and negative leading coefficient
Here in the given case we have odd degree and negative leading coefficient