Question

find the zeroes of the following quadratic Polynomials and verify the relationship between the zeroes and the coefficient (1) x^2 -2x -8​

Answer 1

Step-by-step explanation:

x2 - 2x - 8 = 0

x2 - 4x + 2x - 8 = 0

x(x-4) +2(x-4) = 0

(x+2)(x-4) = 0

The zeroes of the given quadratic polynomial are -2 and 4

VERSIFICATION:

sum of root ;

α

α+

α+β

α+β=

α+β=−

α+β=−2

α+β=−2+

α+β=−2+4

α+β=−2+4=

α+β=−2+4=2

c

co

coe

coef

coeff

coeffi

coeffic

coeffici

coefficie

coefficien

coefficient

coefficient

coefficient o

coefficient of

coefficient of

coefficient of x

coefficient of xc

coefficient of xco

coefficient of xcoe

coefficient of xcoef

coefficient of xcoeff

coefficient of xcoeffi

coefficient of xcoeffic

coefficient of xcoeffici

coefficient of xcoefficie

coefficient of xcoefficien

coefficient of xcoefficient

coefficient of xcoefficient

coefficient of xcoefficient o

coefficient of xcoefficient of

coefficient of xcoefficient of

coefficient of xcoefficient of x

coefficient of xcoefficient of x2

coefficient of xcoefficient of x2=

coefficient of xcoefficient of x2=−

coefficient of xcoefficient of x2=−−

coefficient of xcoefficient of x2=−−2

coefficient of xcoefficient of x2=−−21

coefficient of xcoefficient of x2=−−21=

coefficient of xcoefficient of x2=−−21=2

coefficient of xcoefficient of x2=−−21=2=

coefficient of xcoefficient of x2=−−21=2=α

coefficient of xcoefficient of x2=−−21=2=α+

coefficient of xcoefficient of x2=−−21=2=α+β

α

αβ

αβ=

αβ=−

αβ=−2

αβ=−2×

αβ=−2×4

αβ=−2×4=

αβ=−2×4=−

αβ=−2×4=−8