Question

Find the quadratic polynomial, the sum of whose zeros is √2 and their product is -12.

Hence, find the zeros of the polynomial.​

Answer 1

Answer:

For a quadratic polynomial Ax2 + Bx + C, the sum of the zeroes is -B/A and the product is C/A.

So, -B/A = √2 and C/A = -3/2.

One possible choice for A, B, and C is A = 2, C = -3, and B = -2√2.

The polynomial 2x2 -2√2x - 3 meets the given requirements.

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Answer 2

Answer:

For a quadratic polynomial Ax2 + Bx + C, the sum of the zeroes is -B/A and the product is C/ A.

So, -B/A = V2 and C/A = -3/2.

One possible choice for A, B, and C is A = 2, C =

-3, and B = -2v2.

The polynomial 2x2 -2v2x - 3 meets the given requirements.

Step-by-step explanation:

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