A manufacturer models the cost (in rupees) of producing x electronic toys by the polynomial C(x)=4x2−7x+10. Answer the following:
(i) Identify the coefficient of x2, the coefficient of x and the constant term in the polynomial.
(ii) Explain, in words, what happens to the value of C(x) as x becomes very large and state the mathematical reason for your answer.
(iii) State the degree of C(x) and name the type of polynomial it is.
(iv) Can the cost function ever become the zero polynomial for any value of x? Give a brief justification.
a. (i) Identify the coefficients.
b. (ii) Explain the long-run behaviour.
c. (iii) State degree and type.
d. (iv) Comment on possibility of zero polynomial.