Question

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

Answer 1

Answer:

let one zero be x and the other be y

therfore

$x + y = 3 \\ 3 + y = 3 \\ y = 0 \\ now \: a {}^{2} - (soz)a + poz \\ a {}^{2} - 3a + 0 \: is \: the \: required \: polynomial$

Answer 2

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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