Question

form a quadratic polynomial if the roots are given as follows a)✓3, 2✓3​

Answer 1

Given:

• the roots are given as follows
• a)✓3, 2✓3

To Find:

• form a quadratic polynomial

Solution:

we have roots so the factors will be

$\sf \: x - \sqrt{3} \: or \: x - 2 \sqrt{3}$

Now by multiplying both factors we will get our required equation

$\sf \: (x - \sqrt{3} )(x - 2 \sqrt{3} ) = {x}^{2} - 2 \sqrt{3} x - \sqrt{3} x + 6 \\ \sf = {x}^{2} - 3 \sqrt{3} + 6$

$\boxed{ \sf \purple { \rightarrow \: Equation = {x}^{2} - 3 \sqrt{3} + 6}}$

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