Question

If alpha and beta are the zeros of the polynomial f of x is equal to 3 x square - 2 x minus 21 find the value of one by alpha plus one by vitamin

Answer 1

Answer:

= 3x²-2x-21

= 3x²-(9-7)x-21

= 3x²-9x+7x-21

= 3x(x-3)+7(x-3)

= (3x+7)(x-3)

3x+7 = 0

x = -7/3

α = -7/3

x-3 = 0

x = 3

β = 3

Putting in

1/α + 1/β = -3/7 + 1/3 = (-9+7)/21 = 2/21 (Ans)

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