Question

Find the zeroes and verity the relationship between the zeroes and the coefficients. x^2 - 2x - 8.
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Answer 1

Step-by-step explanation:

x²-2x-8

x² -4x+2x-8

x(x-4)+2(x-4)

(x+2)(x-4)

x+2=0

x=-2.

x-4=0

x=4

RELATIONSHIP B/W ZEROS & COEFFICIENTS

SUM OF ZEROS= -b/a

-2+4= -(-2)/1

2=2

PRODUCT OF ZEROS = c/a

-2×4=-8/1

-8=-8

HENCE VERIFIED

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Answer 2

Step-by-step explanation:

x²-2x-8=0

x²+2x-4x-8=0

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

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

Alpha x= -2 Beta x= 4

Relationship between zero

Alpha + Beta = -b/a

-2+4= -(-2)/1

-2= -2

Alpha×Beta=c/a

-2×4= -8/1

-8= -8