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.