Question

if alpha and beta are zeros of a quadratic polynomial such that alpha + beta is equal to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta acid zeros also verify the relationship between the zeros and the coefficients of the polynomial​

Answer 1

Answer:

x^2 - 24x + 128

Step-by-step explanation:

Alpha + beta =24

Alpha - beta = 8

Using elimination method,

Alpha = 16 and beta = 8.

Verification :

Alpha + beta = - b/a = 24/1

Alpha * beta = c/a = 128

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Answer 2

Step-by-step explanation:

(alpha+beta=24. Alpha_beta=8) is given

Alpha =16,beta=8then

X²_(alpha+beta) x+alphabeta=0

X²_24x+128=0