Question

find a quadratic polynomials whose sum and product of zeros 3 ,1/3

Answer 1

HEY FRIEND

HERE IS YOUR ANSWER

GIVEN:
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SUM OF ZEROES =3

PRODUCT OF ZEROES =1/3

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THERE ARE TWO METHODS TO SOLVE THIS :

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1) FIRST METHOD :

REQUIRED POLYNOMIAL :

=x²-(sum of zeroes)x+(product of zeroes)

=x²-3x+(1/3)

=3x²-9x+1

So, the required polynomial is 3x²-9x+1.

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2)SECOND METHOD:

Sum of zeroes = -b/a

3= -b/a-------(i)

Product of zeroes =c/a

1/3=c/a

TO MAKE THE VALUE OF (a) EQUAL

Multiply and divide 3 by3
in equation 1

We will get

-b/a=9/3

From this we get

a=3

b= -9

c=1

Put it in ax²+bx+c

3x²-9x+1

So the required polynomial is 3x²-9x+1

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HOPE THIS HELPS YOU

Answer 2

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it is ypur answer.......

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