Math, asked by Rosh1514, 10 months ago

If a, b are the zeros of the polynomial such that a+b = -6 and ab = -4 , then write the polynomial

Answers

Answered by ankitsunny
6

Step-by-step explanation:

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(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)

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Answered by BrainlyVanquisher
2

Appropriate Question :-

  • if a and b are the zeroes of the polynomial such that a+b=-6 and ab=-4 then write the polynomial

Required Answer :-

  • x² - 6x + 4.

Concept used here :-

  • If S is the sum of roots of a quadratic polynomial and P is its product, the quadratic polynomial is given by x² - Sx + P.

  • Here, S = 6 and P = 4.

Therefore, quadratic polynomial = x² - Sx + P

  • ::=> x² - 6x + 4

Additional details :-

  • The choice of variable is immaterial. I have chosen x, likewise, once could take it as y , t or anything else.

  • Therefore, if we write the polynomial as y² - 6y + 4 , it is exactly same as x² - 6x + 4.
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