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Chapter 7: Q20. (page 350)

State the degree and leading coefficient of polynomial 7+3x2-5x3+6x2-2x in one variable. If it is not a polynomial in one variable, explain why.

Short Answer

Expert verified

The polynomial has degree 3 and leading coefficient -5.

Step by step solution

01

Step 1. Write down the given information.

The given polynomial is 7+3x2-5x3+6x2-2x.

02

Step 2. Calculation.

Re-arranging the given polynomial 7+3x2-5x3+6x2-2x in descending order of degree, the polynomial can be written as -5x3+9x2-2x+7.

Now, the degree and leading coefficient of the polynomial -5x3+9x2-2x+7are stated as:

The polynomial -5x3+9x2-2x+7 is a polynomial in one variable x. Therefore, by concept of degree and leading coefficient of a polynomial, the degree of the polynomial is 3 and leading coefficient is -5.

03

Step 3. Conclusion.

The polynomial has degree 3 and leading coefficient -5.

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