SOLUTION: Please assist me with the following problem: Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial as constant, linea

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please assist me with the following problem: Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial as constant, linea      Log On


   

Question 165214: Please assist me with the following problem:
Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial as constant, linear, quadratic, cubic, or quartic.
f(x)=15x^2-10+0.11x^4-7x^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, sort the terms in descending order. So the term with the largest exponent goes first.

So f%28x%29=15x%5E2-10%2B0.11x%5E4-7x%5E3 sorts to f%28x%29=0.11x%5E4-7x%5E3%2B15x%5E2-10


Leading term: The first term of the sorted terms


So the leading term is 0.11x%5E4


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Leading Coefficient: coefficient of leading term


So the leading coefficient is 0.11


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Degree of the Polynomial: This value is equal to the largest exponent of the polynomial


So the degree of the polynomial is 4 since 4 is the largest exponent



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Since the degree of the polynomial is 4, this classifies the polynomial as a quartic