Question

Find the quadratic polynomial whose sum and product of zeroes are 1 and (-12) respectively

Answer 1

${x}^{2} - x - 12 = 0$

Answer 2

The required quadratic polynomial is $x^2-x-12$

Step-by-step explanation:

Since we have given that

Sum of zeroes = 1

and product of zeroes = -12

We need to find the quadratic polynomial.

so, the formula for quadratic equation would be

$x^2-(\alpha +\beta )x+\alpha \beta =0\\\\x^2-x-12=0$

Hence, the required quadratic polynomial is $x^2-x-12$

# learn more:

Find the quadratic polynomial whose sum and product of zeroes are 1 and -12 respectively

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