Question

the following quadratic polynomial and verify the relationship between the zeros and the coefficient x square - 2 -
8

Answer 1

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x²-2-8
x²-10
x²-(√10)²
(x+√10)(x-√10)
Alpha=-√10
beta=√10
sum of zeroes
alpha + beta =-b/a
-√10+√10=-0/1
0=0
product of zeroes
alpha*beta=c/a
-√10*√10=-10/1
-10=-10
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Answer 2

•x^2-2-8.

•By splitting the middle term ,

•x^2-4x+2x-8.

•x(x-4)+2(x-4).

•(x-4) (x+2)

•x= 4,x=-2.

•Let α=4 and β=-2.

•α+β=4-2=2.

•-b/a=-(-2)/1.=2.

•αβ=4*(-2)=-8.

•c/a=-8/1=-8.

Hope it helps.

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