Question

if P (x) = x2 - 2root2x + 1, then P(2root2) is equal to

Answer 1

AnswEr:-

Your Answer Is 1.

ExplanaTion:-

Given:-

$\tt\longrightarrow p(x) = {x}^{2} - 2 \sqrt{2}x + 1.$

To Find:-

$\rm\bullet \: \: The \: \: Value \: \: Of \: \: p(2 \sqrt{2} ).$

Now,

Let us put the value of x as $\tt2\sqrt{2}$ in p(x):-

$\tt\longmapsto p(x) = {x}^{2} - 2 \sqrt{2}x + 1. \\ \\ \tt\longmapsto p(2 \sqrt{2}) = (2 \sqrt{2}) {}^{2} - 2 \sqrt{2}(2 \sqrt{2}) + 1. \\ \\ \tt\longmapsto p(2 \sqrt{2}) = (2 \sqrt{2} \times 2 \sqrt{2}) - (2 \times 2 \times \sqrt{2} \times \sqrt{2} ) + 1. \\ \\ \tt\longmapsto p(2 \sqrt{2}) = 8 - 8 + 1. \\ \\ \tt\longmapsto p(2 \sqrt{2}) = 1.$

$\tt\therefore$ The Value of $\tt p(2\sqrt{2})$ is 1.

More related information:-

• A polynomial with degree 2 is called quadratic polynomial.

• Every polynomial have the number of solutions equal to its degree.

• The highest power of a polynomial is called its power.

Answer 2

Answer:

ExplanaTion:-

Given:-

To Find:-

Now,

Let us put the value of x as  in p(x):-

The Value of  is 1.

More related information:-

A polynomial with degree 2 is called quadratic polynomial.

Every polynomial have the number of solutions equal to its degree.

The highest power of a polynomial is called its power.

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