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

1.	★ Find a quadratic polynomial with zeroes 2 and 3. _____No SpAM
Answer» ☆ Question : <P> ★ 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 $\implies$ 4 -3 = 1 New polynomial , P(x) = x^2 - ( sum of zeros ) x + ( product of zeros ) $\large \boxed{= x^2-4x+1}$ $\text{[math]}$ MARK me as BRAINLIEST please

Answer»

☆ Question :

<P>

★ 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

$\implies$ 4 -3

= 1

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

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

$\text{[math]}$ MARK me as BRAINLIEST please