Question

Find the quadratic polynomial if its zeros are 1/2 and 3/2

Answer 1

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Answer 2

Answer ☺☝

General Form : p ( x ) = x² - ( a + b ) x + ab

Here a = 1/2 and b = 3/2

a + b = 1/2 + 3/2 = 4/2 = 2

ab = 1/2 × 3/2 = 3/4

Now ,

p( x ) = x² - 2x + 3/4

Multiplying the whole polynomial by 4

p( x ) = 4x² - 8x + 3