A polynomial function g(x) has a leading coefficient of 7 and a constant term of 28. Which of the following are possible roots of g(x)?
Options
A
B
C
D
Answer & Analysis
Answer
A,B,D
Analysis
1. Recall the Rational Root Theorem:
For a polynomial function with integer coefficients (), the possible rational roots are of the form , where is a factor of the constant term and is a factor of the leading coefficient .
2. Identify the values of and for the polynomial :
Given that the leading coefficient , and its factors are .
The constant term , and its factors are .
3. Determine the possible rational roots :
When , the possible rational roots are , so we have
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