Question

If alpha + beta is equal to 24 and alpha - beta is equal to 8 what is quadratic polynomial

Answer 1

here is your answer you just need to solve alpha and beta by elimation or substitution method and find value of alpha and beta

then just put in this formula

x^2-{α+β}x+αβ=0

Answer 2

Alpha+beta=24.......1

Alpha-beta=8.......2

From equation 1and2 we get

Alpha+beta=24

Alpha-beta=8

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2alpha=32

Alpha=32/2

= 16

alpha+beta=24

Beta=24-16

=8

Now ,

Alpha+beta=24

& aplha×beta=128

P (x)=x2-24x+128