Question

if a and b are the zeroes of polynomial such that a+b=6 &ab=6 then write a polynomial

Answer 1

HOLA

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$x {}^{2} \: - \: ( \alpha \: + \: \beta )x \: + \: ( \alpha \beta ) \\ \\ \\ ( \alpha \: + \: \beta ) \: = \:6 \\ \\ ( \alpha \beta ) \: = 6 \\ \\ x {}^{2} \: - \: 6x \: + 6$


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HOPE U UNDERSTAND ❤❤❤

Answer 2

$\tt{Solution:}$

Given :

• Zeroes of polynomial = a and b.
• a+b = 6
• ab = 6.

We know that ,

$\boxed{\tt{Standard\:\:form = x^2-(sum\:of\:zeroes)x+product\;of\:zeroes.}}\\\\\\\tt{So}\\\\\\\bold{Polynomial=x^2-6x+6.}$

$\underline{\bold{Polynomial:}}$

An algebraic expression in which the variables involved have only non negative integral powers.

e.g.,  ax² + bx + c  

  and α and β are zeroes.

then

• α + β = -b/a
• αβ = c/a.