msshivnarine msshivnarine
  • 13-03-2020
  • Mathematics
contestada

What is the leading coefficient of the polynomial f(x) defined below?
f(x) = x4 – 5x2 – 10x3 + 6 + 10x

Respuesta :

blarshad blarshad
  • 17-03-2020

Answer:

Leading coefficient of the polynomial f(x) is 1

Step-by-step explanation:[tex]a_1[/tex]

When we have the polynomial of form [tex]a_1 x^n + a_2 x^{n-1} +....a_n[/tex], then the leading term is the term that has the highest degree of x, here it is n. So the leading term is [tex]a_1 x^n[/tex]. Now, the leading coefficient is [tex]a_1[/tex].

Now when we look at the question, we will see that, the leading term is [tex]x^4[/tex] and thus the coefficient of this term is 1, so the leading coefficient is 1 here.

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