Question

Write the coefficients of x2 in each of the following(i) 2 + x2 + x(ii) 2 – x2 + x3(iii) $\sf{\frac { \pi }{ 2 } x²+ x$(iv) √2 x – 1Explanation needed​

Answer 1

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(i) The given polynomial is

$\sf{2 + x² + x.}$

The coefficient of $\rm{x²~ is~ 1.}$

(ii) The given polynomial is

$\sf{ 2 – x2 + x3.}$

The coefficient of $\rm{x-2 ~is~ -1.}$

(iii) The given polynomial is$\sf\dfrac { π }{ 2 } { x }^{ 2 } + x$

The coefficient of x2 is $\dfrac { π}{ 2 }$.

(iv) The given polynomial is

$\sf\sqrt{2 }{x – 1}$

The coefficient of $\sf{x²~ is~ 0.}$

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Answer 2

For solving this type of question you need to understand what is the meaning of coefficient...

In this question, coefficient of x² means which number is multiplied with x² with their corresponding sign...

(i) 2 + x²

Coefficient of x² is 1

(ii)