Answer: [tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
The leading coefficient of a polynomial are the real numbers that is placed in front of the variable with the highest exponent.
Given polynomial function : [tex]f(x)=\dfrac{1}{4}x^5+8x-5x^4-19[/tex]
Variable with the highest exponent= [tex]x^5[/tex]
Number placed in front of [tex]x^5=\dfrac{1}{4}[/tex]
Hence, the leading coefficient = [tex]\dfrac{1}{4}[/tex]
