Question

If a and B are the zeroes of the polynomial x2 + 3x + 2, form a polynomial whose
zeroes are(1 + beta/alpha)and (1 + alpha/beta)​

Answer 1

Answer:

zeros of polynomial x2 + 3x + 2 is a and b

x2 + 3x + 2

x2 + x + 2x + 2

x ( x + 1 ) 2 ( x + 1 )

( x + 1 ) ( x + 2 )

zeros of the given polynomial

a = α = -1

b = β = -2

(1 + α / β )

= (1 + -1 / -2 )

= 3/2

(1 + β / α )

= (1 + -2 / -1 )

= 3

so the value of (1 + α / β ) and (1 + β / α ) are 3/2 and 3

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