Chapter 2: Introduction to Linear Polynomials

Exercise

Question

Question: 2

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Write polynomials of 1, 2 and 3.

Answer

1
Write an example of a polynomial of degree 1.
Answer: One example is $3x + 2$
Reason: The highest power of $x$ in $3x + 2$ is 1. Therefore, its degree is 1.
2
Write an example of a polynomial of degree 2.
Answer: One example is $x^2 + 4x + 1$
Reason: The highest power of $x$ in $x^2 + 4x + 1$ is 2. Therefore, its degree is 2.
3
Write an example of a polynomial of degree 3.
Answer: One example is $x^3 - 2x^2 + x$
Reason: The highest power of $x$ in $x^3 - 2x^2 + x$ is 3. Therefore, its degree is 3.
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