Question

if alpha and beta are the zeros of the quadratic polynomial such that alpha + beta is equal to 24 and Alpha minus theta is = 8 find the quadratic polynomial having alpha and beta​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

alpha+beta=24

alpha-beta=8

2alpha=32(elimination)

alpha=16

beta=24-16

beta=8

now,

alpha +beta=32

alpha×beta=16×8=128

therefore,

the polynomial is given by,

k{x^2-(sum of zeroes)x+(product of zeroes)}

k{x^2 - 32x + 128}

the polynomial is x^2-32x+128,where k=1