Respuesta :
Step-by-step explanation:
Given binomial is: [tex] 8x^4 - 2x[/tex]
[tex]in \: the \: term \: 8 {x}^{4} \\ coefficient = 8 \\ exponent = 4 \\ \\ in \: the \: term \: - 2x \\ coefficient = - 2 \\ exponent = 1[/tex]
The coefficient of the term 8x^4 is 8 and the exponent is 4
The coefficient of the term -2x is -2 and the exponent is 1
Given the standard form of an exponential function expressed as:
[tex]y = ab^x[/tex]
From the expression
a is the coefficient
x is the exponent
b is the variable
Given the expression [tex]8x^4-2x[/tex], we are to find the coefficient and the exponent for each term
For the term, [tex]8x^4[/tex], compared with the general equations;
[tex]ab^x = 8x^4[/tex]
a = 8
x = 4
This shows that the coefficient of the term is 8 and the exponent is 4
Similarly for the second term -2x
[tex]ab^x =-2x^1[/tex]
a = -2
x = 1
Hence the coefficient of the term is -2 and the exponent is 1
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