find the sum of the zeros of a quadratic polynomial is 15 upon 4 and their product is 3. find the Polynomial.​

Question

find the sum of the zeros of a quadratic polynomial is 15 upon 4
and their product is 3. find the Polynomial.​

in progress 0
Arianna 1 month 2021-09-17T09:24:20+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-17T09:26:11+00:00

    Answer:

    Step-by-step explanation:

    Method 1:

    The quadratic equation with sum of roots and product of roots given will be of form x² – (sum of roots)x + product of roots

    Given, Sum of zeroes = 15/4,  Product of zeroes = 3

    => x² – 15/4 * x + 3

    => 4x² – 15x + 12

    Method 2:

    Let the polynomial be of form p(x) = ax² + bx + c

    Sum of zeros = 15/4

    => -b/a = 15/4

    Assuming a = 1

    b = -15/4.

    Product of zeros = 3

    => c/a = 3

    assuming a = 1,

    c = 3.

    Thus the equation of polynomial with a= 1, b = -15/4, c = 3 is  

    p(x) = (1)x² + (-15/4) * x + 3

         = x² – 15x/4 + 3

         = 4x² – 15x + 12

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )