Question

The quadratic polynomial having zeroes 1 and -2 is

Answer 1

Answer:

given zeroes are 1 and -2

their sum = 1 + (-2) = 1 -2 = -1

and product = 1*-2 = -2

so,

required quadratic polynomial is

p(x) = x² -( sum)x + product = 0

or x² -( -1)x + (-2) = 0

or, x² + x -2 = 0.

this is the required quadratic polynomial.

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Step-by-step explanation:

some other important realtions.

* sum of zeroes = - coefficient of x/ coefficient of x ²

* product of zeroes = constant term/ coefficient of x ²

Answer 2

Solution,

Zero 1 = 1

Zero 2 = -2

Sum of the Zeroes = 1+(-2)

= 1-2 = -1

Product of the Zeroes = 1 × -2

= -2

Quadratic equation( Gen. form),

x² -(Sum of zeroes)x + Product of zeroes

Therefore required quad. equation = x² -(-1)x + (-2)

= x²+ x -2

Hope it helps you Mate!