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Question

# For the polynomial 4x−6x5+3x2, find the coefficient of the second term when this polynomial is written in standard form.

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Solution

## Given a polynomial 4x−6x5+3x2. Step 1––––––– Writing the polynomial 4x−6x5+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 4x−6x5+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 4x−6x5+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 4x−6x5+3x2. The standard form of the polynomial 4x−6x5+3x2: −6x5+3x2+4x The second term in standard form of the polynomial 4x−6x5+3x2 is 3x2. Step 2:–––––––– The standard form of the polynomial 4x−6x5+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 4x−6x5+3x2 is written in standard form is 3.

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