Write the coefficient of $x^{2}$ in the given expression: $x^{3} - 2 x^{2} + 3 x + 1$

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Solution

Coefficient of terms in the polynomials:
The coefficient of polynomials is the number multiplied to the variable.
In the expression, $a x^{3} + b x^{2} + c x + d$ ,
$a$ is the coefficient of $x^{3}$ .
$b$ is the coefficient of $x^{2}$ .
$c$ is the coefficient of $x$ .
$d$ is the coefficient of $x^{0}$ .
The given expression is, $x^{3} - 2 x^{2} + 3 x + 1$
Hence, the coefficient of $x^{2}$ is $- 2$ .

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Question 54 (ii)

Write the coefficient of $x^{2}$ in the following:

$x^{3} - 2 x^{2} + 3 x + 1$

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\frac{π}{2} x^{2} + x

\sqrt{2} x - 1

x^{2}

\sqrt{2} x^{2} + 5 x - 1

x^{2}

x^{3} - 2 x^{2} + 3 x + 1

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14 x^{3} - 2 x^{2} + 5 x - 7 x^{2}

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