The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.
<h3>What do a polynomial's leading term and leading coefficient mean?</h3>
- The term with the highest power of x is the leading term in a polynomial.
- As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.
We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).
Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)
Substituting f(x) = 100 and x = 5,
100 = c(4)(6)(3)
100 = c72
c= 1.38
Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.
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