find a quadratic Plynomial each with the given numbers as the sum and product of its zeroes respectively -3/2√5, -1/2​

By Rose

find a quadratic Plynomial each with the given numbers as the sum and product of its zeroes respectively -3/2√5, -1/2​

About the author
Rose

1 thought on “find a quadratic Plynomial each with the given numbers as the sum and product of its zeroes respectively -3/2√5, -1/2​”

  1. Answer:

    Let the zeroes of the polynomial are alpha and beta.

    alpha + beta = -3/2√5

    alpha × beta = – 1/2

    Then the polynomial is of the form,

    x² – (alpha + beta ) x + (alpha × beta) = 0

    x² – (-3/2√5 ) x + (-1/2) = 0

    x² + 3/2√5 × x – 1/2 = 0

    x² + 3x/2√5 – 1/2 = 0

    2√5x²/2√5 + 3x/2√5 – √5/2√5 = 0

    2√5x² + 3x – √5 = 0

    Then the polynomial be 2√5x² + 3x – √5

    I hope this will help u. Please add this to the brainlist.

    Reply

Leave a Comment