Write the coefficient of x3 in each of the following
(i) x3 + x + 1 (ii) 2 - x3 + x2
(iii) 
(iv) 2x3 + 5
(v) 
(vi) 
(vii) 2x2 + 5 (vi) 4
A coefficient is a multiplicative factor in some term of a polynomial. It is the constant written before the variable.
Therefore,
(i) The constant written before x3 in x3 + x + 1 is 1.
∴ The coefficient of x3 in x3 + x + 1 is 1.
(ii) The constant written before x3 in 2 – x3 + x2 is -1.
∴ The coefficient of x3 in 2 – x3 + x2 is -1.
(iii) The constant written before x3 in √2x3 + 5 is √2.
∴ The coefficient of x3 in √2x3 + 5 is √2.
(iv) The constant written before x3 in 2x3 + 5 is 2.
∴ The coefficient of x3 in 2x3 + 5 is 2.
(v) The constant written before x3 in 
is
.
∴ The coefficient of x3 in 
is
.
(vi) The constant written before x3 in 
is
.
∴ The coefficient of x3 in 
is
.
(vii) The term x3 does not exist in 2x2 + 5.
∴ The coefficient of x3 in 2x2 + 5 is 0.
(viii) The term x3 does not exist in 4.
∴ The coefficient of x3 in 4 is 0.
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