Economy, asked by akla22, 6 months ago

★ Find a quadratic polynomial with zeroes 2 and 3. _____No SpAM

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Answered by nitashachadha84
0

Question :

★ Find a quadratic polynomial with zeroes 2 and 3.

  \large \bigstar  \huge \: \mathfrak{answer} \large  \: \bigstar

It is given that the zeros of the quadratic polynomial is 2+√3 and 2-√3 .

Sum of zeros = (2+√3+2-√3) = 4 .

Product of zeros = (2+√3)(2-√3)

\implies(2)^2 - (√3)^2

\implies4 -3

= 1

New polynomial ,

P(x) = x^2 - ( sum of zeros ) x + ( product of zeros )

\large \boxed{= x^2-4x+1}

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Answered by SwaggerGabru
1

\huge\red{\underline{{\boxed{\textbf{QUESTION}}}}}

Find a quadratic polynomial with zeroes 2 and 3.

\huge\red{\underline{{\boxed{\textbf{ANSWER}}}}}

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