Question

Find a quadratic polynomial whose zeros are –4 and 2.

Answer 1

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Answer 2

Answer:

Quadratic Polynomial is k ( x² + 2x - 8 )

Step-by-step explanation:

Given: Zeroes of quadratic Polynomial are -4 and 2

To find: Quadratic Polynomial

If α and β are zeroes of quadratic polynomial than the quadratic polynomial is given by  k ( x² - ( α + β ) x + αβ )

where , ( α + β ) is sum of zeroes and αβ is product of zeroes.

Here, α = - 4 and β = 2

⇒ α + β  = -4 + 2 = -2

    αβ = -4 × 2 = -8

⇒ Quadratic Polynomial =  k ( x² - ( -2 ) x + ( -8 ) )

                                         = k ( x² + 2x - 8 )

                                       

Therefore, Quadratic Polynomial is k ( x² + 2x - 8 )