Respuesta :

The leading coefficient is the number in front of the variable with the highest degree(exponent)

The highest degree (exponent) is 5, so the leading coefficient = -0.2

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ANSWER

The leading coefficient of the given polynomial is -0.2

EXPLANATION

The given polynomial function is

[tex]f(x)=3x^2-0.2x^5+7x^3[/tex]

We rewrite in standard form to obtain,

[tex]f(x)=-0.2x^5+7x^3+3x^2[/tex]

Note that writing in standard form means writing in descending powers of x.

The coefficient of the leading term is -0.2.