Question

Why is it important to identify the leading coefficient of the expressions?​

Answer 1

Answer:

Identifying the coefficient will determine the end behavior of the graph of the polynomial function. For example, when the degree is odd and the leading coefficient is negative, the graph rises to the left and falls to the right.

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Answer 2

Given,

Why is it important to identify the leading coefficient of the expressions?​

Solution,

Know that the leading coefficient test tells us that the graph rises or falls depending on whether the leading terms are positive or negative, so for left-hand behaviour (negative numbers), you will need to look at both the coefficient and the degree of the component together.

Hence, the importance is to know that behaviour of the graph of the polynomial.