A Quadratic polynomial whose sum and product of zeros are -3 and 2 is​

A Quadratic polynomial whose sum and product of zeros are -3 and 2 is​

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2 thoughts on “A Quadratic polynomial whose sum and product of zeros are -3 and 2 is​”

  1. Step-by-step explanation:

    Product of zeros =αβ=2×3=6. Thus when α=2 and β=3 the sum and product of zero’s are 5 and 6. Thus we can split the 2nd term of a quadratic polynomial x2−5x+6=0.

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  2. Answer:

    Given,the sum is= -3

    and,the product is = 2

    now,the quadratic polynomial is–

    x²-(the sum of the zeroes)x+the product of zeroes)

    = x²-(-3)x+2

    = x²+3x+2

    Step-by-step explanation:

    Formula

    a quadratic polynomial=

    x²-(the sum of the zeores of polynomial)x+the product of the zeroes of polynomial

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