Question

find the quadratic polynomial the sum and the product of zeros are respectively - 1 and - 12​

Answer 1

HERE IS UR ANSWER DEAR,

GIVEN:

$sum \: of \: the \: zeros \: = \alpha + \beta = \frac{ - b}{a} = - 1 = \frac{ - 1}{1}$

therefore ,

• a= 1
• b=1

$product \: of \: zeros = \alpha \beta = \frac{c}{a} = - 12 = \frac{ - 12}{1}$

therefore,

• a=1
• c=-12

polynomial expression: ax² + bx +c= 0

by substituting above values in this expression,

we get

x² + x -12 = 0

hence ,it is a quadratic polynomial.

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