Question

Find a quadratic polynomial , the sum & product of its zeros are 3 and 2/5​

Answer 1

Given :-

The sum and product of the given quadratic polynomial are 3 and 2/5 respectively.

To Find :-

The quadratic polynomial.

Given Hint :-

The sum and product of the given quadratic polynomial.

Used Formula :-

If we know the sum and products of the zeroes, then the quadratic polynomial form will be,

${x}^{2} -(sum \: of \: z)x + (product \: of \: z)$

Process :-

According to the above formula,

$= {x}^{2} - (3)x + ( \frac{ 2}{5} )$

$= {x}^{2} - 3x + \frac{2}{5}$

Conclusion :-

The quadratic polynomial will be in form,

$= {x}^{2} - 3x + \frac{2}{5}$

Comments :-

Hope it helps

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Answer 2

Answer:

assume a=3 as one root and b=-2/5 as the other.

Sum of roots=3+(-2/5)=13/5

Product of roots=3*-2/5= -6/5

Therefore, we form the equation using-

x^2 - (sum of roots)*x + (product of roots) = 0

x^2 - (13/5)*x + (-6/5) = 0

x^2 - 13x/5 - 6/5 = 0

if we take LCM and simplify, we finally get-

5x^2– 13x - 6 = 0.

please mark as brainliest answer