Question

Find the coefficient of x^2 for the expression: 4x^3 -3x^2 +6x

Answer 1

⠀⠀⠀$\huge\underline{ \overline{ \bf{ \purple{QUESTION}}}} </p><p>$

Find the coefficient of x^2 for the expression: 4x^3 -3x^2 +6x.

________________________

⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \bf{ \blue{ \: solution \: : = }}}}$

the coefficient of

$\bf {x}^{2} in \: equation {4}^{3} - 3 {x}^{2} + 6x \\ = > \bf - 3$

⠀⠀$\large\underline{ \underline{ \green{ \bold {</strong><strong>Coeffi</strong><strong>cient</strong><strong>}}}} = >$

In a mathematical equation, a coefficient is a constant by which a variable is multiplied.

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

$\blacksquare \:$COEFFICIENT

A coefficient in a polynomial is defined as a number multiplied to the variable

$\longmapsto$ EXAMPLE

A general equation of polynomial is

$a_n {x}^{n} + a_{n - 1} {x}^{n - 1} + + ....... + a_1 {x} + a_0$

Then the

$coefficient \: \: of \: \: {x}^{n} \: \: is \: a_n$

$coefficient \: \: of \: \: {x}^{n - 1} \: \: is \: a_{n - 1}$

and so on

$\blacksquare \:$QUESTION

$Find \: the \: coefficient \: of \: x^2 \: </strong><strong>in</strong><strong> \: 4x^3 -3x^2 +6x$

$\blacksquare \:$ANSWER

The number multiplied with $x^2 \: \: in \: </u></em></strong><strong><em><u>the</u></em></strong><strong><em><u> </u></em></strong><strong><em><u>\: </u></em></strong><strong><em><u>expression</u></em></strong><strong><em><u> </u></em></strong><strong><em><u>\: 4x^3 -3x^2 +6x$ is - 3

So the required coefficient is - 3