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Question

What would be the last term of the polynomial expression 7x2−x3+x−8x6+4x5 when written in standard form?

A
8x6
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B
x
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C
x
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D
4x5
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Solution

The correct option is C x
Standard Form of a Polynomial:––––––––––––––––––––––––––––––––––––––
A polynomial is said to be in its standard form, if it is expressed in such a way that the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.

We are given with a polynomial expression 7x2x3+x8x6+4x5.

The highest exponent of this polynomial is 6 and the corresponding term is 8x6.

The second highest exponent is 5 and the corresponding term is 4x5.

The third highest exponent is 3 and the corresponding term is x3.

The fourth highest exponent is 2 and the corresponding term is 7x2.

The fifth highest exponent is 1 and the corresponding term is x.

The polynomial expression 7x2x3+x8x6+4x5 when written in standard form would be:

8x6+4x5x3+7x2+x

The last term of the polynomial expression 7x2x3+x8x6+4x5 (i.e., fifth term) when written in standard form would be x. Therefore, option (c.) is the correct answer.

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