The coefficient of x^2 in p(x) = (3x + 7)^3 is
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The coefficient of x² in p(x) = (3x + 7) ³ is 189.
Explanation:
(a+b) ³= a³+b³+3a²b+3b²a
(3x+7) = (3x)³ + 7³ +3(3x)²*7 + 3*7²(3x)
(3x+7) ³ = 27x³ + 343 +189x² + 361x
The coefficient of x² in p(x) = (3x + 7)³ is 189.
Definition of coefficient:
It is an integer that is multiplied by the variable and written next to it. The coefficient of a variables without a number is 1 . Coefficients are multipliers, but constants are fixed values.
In the above expression,
27 is the coefficient of x³
189 is the coefficient of x²
361 is the coefficient of x.
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