Question

Determine the leading coefficient c of the polynomial given that the graph goes through the point (5,100)

Answer 1

The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.

What do a polynomial's leading term and leading coefficient mean?

• 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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