To write the polynomial 5x^4+8x^5-2x+3 in standard form, which term is the leading term? a. the constant

3 answers
Question:

To write the polynomial 5x^4+8x^5-2x+3 in standard form, which term is the leading term?
a. the constant term
b. the quintic term
c. the quartic term
d. the linear term

Answers

The answer is B. The leading coefficient is always the variable with the highest degree. In this case, it's 5.

Step-by-step explanation:

A polynomial is in standard form when it is expressed with the highest degree first and then continues in order with terms from higher to lower degree and finally   ends with the constant term.

The leading term is the first expression or monomial of the polinomial in standard form. In this case we have.

5x^4+8x^5-2x+3

Ordering from highest to lowest:

8x^5+5x^4-2x+3 .

So the leading term is 8x^5 or the quintic term, the one elevated to the fifth power.

Leading term is the term with the highest power (first term from left to writewhen arranged in decreasing power order)

8x^5 is higher power than 5x^4 (5>4)

so leading term is 5th degree
constant=0 degree (x^0=1)
linear=1st degree (x^1)
quartic=4th degree (x^4)
quintic=5th degree (x^5)

answer would be B

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