Math, asked by chandrakantcsr, 8 months ago

Find a quadratic polynomial such that sum of its zeroes is 3 and one zero is also 3.​

Answers

Answered by poojan
2

Given data :

Sum of the zeroes of a quadratic polynomial is 3 and one zero is also 3.​

To find : Quadratic polynomial

Calculation :

A quadratic polynomial has 2 zeros.

As per the given data, sum of the two zeroes is 3.

Let the zeroes be a, b

Given, one of the zeroes is 3. let a=3,

That is : a + b = 3

             3 + b = 3

             b = 3 - 3

             b = 0

So, the second zero of the polynomial is 0.

With 3,0 as the zeroes, the quadratic polynomial is :

p(x) = x²−(a+b)x+(ab)

       = x²-(3+0)x+(3*0)

       = x²-3x+0

Therefore, x²-3x is the polynomial p(x) that satisfies the given data.

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Answered by amitnrw
0

Given : a quadratic polynomial such that sum of its zeroes is 3 and one zero is also 3.​

To find : quadratic polynomial

Solution:

One root is  3

another root = α

Sum of roots = 3  + α = 3

=> α = 0

Hence roots are 0 & 3

quadratic polynomial  = (x - 3)(x - 0)

= x² - 3x

x² - 3x is a quadratic polynomial such that sum of its zeroes is 3 and one zero is also 3.​

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