Question

3. Find the zeroes of the polynomial x2 – 3x -10and verify the relationship between the zeroes and coefficients.

Answer 1

Step-by-step explanation:

x² -3x -10 =0

x² -( 5-2) x -10=0

x² -5x +2x -10 =0

x( x -5) + 2 (x -5)=0

(x+2) ( x-5)=0

x+2=0 ; x -5=0

x = -2 ; x =5

verify relationship between

i) sum of zero

alpha +beta = -b/a

-2 +5 = 3 /1

3=3

ii) product of zero

alpha ×beta =c/a

-2×5= -10

-10 = -10

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