## the sum of the zeros of qua dratic polynomial is 15 upon 4 and their products is 3 find polynomial ​

Question

the sum of the zeros of qua dratic polynomial is 15 upon 4 and their products is 3 find polynomial ​

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2 weeks 2021-09-13T23:03:40+00:00 2 Answers 0 views 0

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## Given:–

• sum of zeroes of a polynomial which is 15/3
• product of zeroes of a polynomial which is 3

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## Tofind:–

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## Solution:–

• When sum and product of zeroes of a polynomial is given,we have to use this formula to find the polynomial.

x^2(sum of zeroes)x+product of zeroes

According to the Q,

x^2-(15/6)x+3

=x^2-15x/6+3

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•°•the required polynomial is

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## Verification:–

Sum of zeroes =(-b/a)

={-(-15/6)/1}

=15/6

product of zeroes=c/a

=3/1

=3

## hence,verified !!

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• Sum of the Zeroes = 15/4
• Product of Zeroes = 3

### TO FIND:

• What is the polynomial ?

### SOLUTION:

We have given that, the sum of the zeros of quadratic polynomial is 15/4 and their products is 3.

• Sum of Zeroes = 15/4
• Product of Zeroes = 3

We know that, the formation of quadratic polynomial is:- Where,

• s = Sum of Zeroes
• p = Product of Zeroes

According to question:

On putting the given values in the equation, we get   Hence, the quadratic polynomial formed is 15/4x + 3