Question

Find the quadratic polynomial the sum and product of whose zeroes are root 2 and -12 respectively.Find the zeroes of this polynomial.

Answer 1

Answer:

Step-by-step explanation:

Here is ur answer...

Answer 2

The quadratic polynomial is $x^2-\sqrt{2}x-12$ and the roots are

$x=\dfrac{\sqrt{2}\pm \sqrt{50}}{2}$

Step-by-step explanation:

Since we have given that

Sum of zeroes = √2

Product of zeroes = -12

So, quadratic polynomial are

$x^2-(Sum)x+Product=0\\\\x^2-\sqrt{2}x-12=0$

So, the roots would be

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-\sqrt{2}\pm \sqrt{2-(4\times -12)}}{2\times 1}\\\\x=\dfrac{-\sqrt{2}\pm \sqrt{50}}{2}$

Hence, the quadratic polynomial is $x^2-\sqrt{2}x-12$ and the roots are

$x=\dfrac{\sqrt{2}\pm \sqrt{50}}{2}$

# learn more:

Find the quadratic polynomial the sum and product of whose zeroes are root 2 and -12 respectively.Find the zeroes of this polynomial.

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