Question

Find coefficient of
${x}^{2} \: in \: \: (3x+{x}^{3} )(x + \frac{1}{x})$
The answer should be well explained and it will marked as Brainliest Answer.....
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Answer 1

hey mate

here is your answer

$(3x + {x}^{3} )(x + \frac{1}{x} ) \\ = {3x}^{2} + {x}^{4} + 3 + {x}^{2} \\ = {x}^{4} + {4x}^{2} + 3$

in the following equation coefficient of x^2 is 4.

hope it helps u ...

Answer 2

Answer:

$\large\bold\red{4}$

Step-by-step explanation:

Given,

$(3x + {x}^{3} )(x + \frac{1}{x} )$

Further simplifying,

we get,

$=( 3x \times x )+ (3x \times \frac{1}{x} ) + ( {x}^{3 } \times x ) + ( {x}^{3} \times \frac{1}{x} ) \\ \\ = 3 {x}^{2} + 3 + {x}^{4} + {x}^{2} \\ \\ = {x}^{4} + 4 {x}^{2} + 3$

Here,

Coefficient of ${x}^{2}=\bold{4}$