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a) Define the polynomial [tex]f(x) = x^5 + 3x^4 - 4x^3 + 59x^2 - 75x + 35[/tex] and find the following using commands:

(i) Roots of the polynomial

(ii) Calculate [tex]f(9)[/tex]

(iii) Plot the polynomial for [tex]-1.5 \leq x \leq 6.7[/tex]

b) Make a 3D line plot of [tex]\sin(t)[/tex], [tex]\cos(t)[/tex], and [tex]t[/tex] in the range [tex]0[/tex] to [tex]6\pi[/tex].

Answer :

Final answer:

A polynomial is a mathematical expression that consists of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.

Explanation:

A polynomial is a mathematical expression that consists of variables (or indeterminates) and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. It is a fundamental concept in algebra and is used to model and solve a wide range of problems in various fields of study. Polynomials are often represented in the form of terms, with each term consisting of a coefficient multiplied by one or more variables raised to non-negative integer exponents.

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