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Chapter 5: Q1. (page 231)

Write a polynomial of degree 5 that has three terms.

Short Answer

Expert verified

The polynomial of degree 5 having three terms isx5+2x4+3x3 .

Step by step solution

01

Step 1. Write down the given information.

The given polynomial has degree 5.

02

Step 2. Calculation.

The standard polynomial of degree 5 having three terms is written as:a0xn+a1xn鈭�1+a2xn鈭�2+a3xn鈭�3+a4xn鈭�4 in order of decreasing order of degree where any two terms can be equated to zero.

Now for the polynomial to be of three terms and degree 5, we have following one possible situation.

{a0,a1,a2}鈮�0andn=5{a0,a1,a2}鈭�R鈥塧苍诲n鈭�Z+

Therefore, one possible case for polynomial of degree 5 having three terms is written as:x5+2x4+3x3

03

Step 3. Conclusion.

The polynomial of degree 5 having three terms is x5+2x4+3x3.

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