Question

9) Find the quadratic polynomial whose zero are 2 and -1/2​

Answer 1

Answer:

Quadratic Polynomial = 2x^2 - 3x - 2

Step-by-step explanation:

Given zeros are 2 & -1/2

Let's x=2 and x= -1/2

=> x - 2 = 0 & x + 1/2 = 0

=> x - 2 = 0 & 2x + 1 = 0

The required ploynomial is ( x - 2 )( 2x + 1 )

= 2x(x) + x - 2(2x) - 2

= 2x^2 + x - 4x - 2

= 2x^2 - 3x - 2

Therefore, Quadratic Polynomial = 2x^2 - 3x - 2

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