Math, asked by shaktiutkarsh4549, 1 month ago

FIND QUADRATIC POLYNOMIAL WHOSE ZEROES ARE A AND B SATISFIES THE RELATION A+B=3 A-B=-1

Answers

Answered by nehajanet5
2

Answer:

X²-3 X+2

Step-by-step explanation:

A + B = 3---------(1)

A - B = 1------------(2)

From equation (1) we get,

A + B = 3

A = 3-B---------(3)

Putting the value of A in equation (2)

A - B = 1

3-B - B = 1

-2 B = 1-3

-2 B = -2

B = -2/-2 => 1

Putting the value of B in equation (3)

A = 3-B => 3-1 = 2

Therefore,

2 and 1 are the two zeroes.

Let Alpha = 2 and beta = 1

Sum of zeroes = (Alpha + Beta) = (2+1) = 3

Product of zeroes = (Alpha × Beta) = (2 × 1) = 2

Therefore,

Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes.

=> X² -(3)X + 2

=> X²-3 X+2

Hope it helps you.

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