Question

If a and b are the zeros of the quadratic polynomial x2-1 find a quadratic polynomial whose zeros are 2a/b and 2b/a

Answer 1

Step-by-step explanation:

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Answer 2

Given:

a and b are the zeros of the quadratic polynomial x²-1.

To find:

quadratic polynomial whose zeros are 2a/b and 2b/a.

Solution:

1) The zeroes of the x²-1 is ±1.

2) Which means that the value a is +1 and b is -1.

3) The other zeroes are 2a/b and 2b/a, by putting the value of a and b we get,  -2 and -2.

4) Sum of the zeroes= -2-2 = -4

   Product of the zeroes = -2 × -2 = 4.

5) The equation of the quadratic polynomial is given by

• x² - (sum of the zeroes)x + (product of the zeroes) = 0

• x² - (-4)x + 4 = 0

• x² + 4x + 4 = 0

quadratic polynomial whose zeros are 2a/b and 2b/a is x²+4x+4 = 0