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Question

For the polynomial 4x6x5+3x2, find the coefficient of the second term when this polynomial is written in standard form.

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Solution

Given a polynomial 4x6x5+3x2.

Step 1–––––

Writing the polynomial 4x6x5+3x2 in standard form.
The term 6x5 has the highest power of the variable x. This term would be the first term in standard form of the polynomial 4x6x5+3x2.

The term 3x2 has the second highest power of the variable x. This term would be the second term in standard form of the polynomial 4x6x5+3x2.

The term 4x has the third highest power of the variable x. This term would be the third term in standard form of the polynomial 4x6x5+3x2.

The standard form of the polynomial 4x6x5+3x2:
6x5+3x2+4x

The second term in standard form of the polynomial 4x6x5+3x2 is 3x2.

Step 2:––––––

The standard form of the polynomial 4x6x5+3x2:
6x5+3x2+4x

Coefficient of x5=6
Coefficient of x2=3
Coefficient of x=4

The coefficient of x2, i.e., second term when the polynomial 4x6x5+3x2 is written in standard form is 3.

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