Question

If a and b are the zeros of the polynomial 3x²+5x-2 then form a quadratic polynomial whose zeroes are 2a and 2b

Answer 1

if a,b are the zeros of the polynomial then,

a+b = -5/3

a×b = -2/3

given the sum of the other roots 2a&2b,

sum = 2(a+b)

= 2(-5/3)

= -10/3

product = 4ab

= 4×(-2/3)

= -8/3

equation is x²-(sum)x+product

x²+10x/3-8/3

3x²+10x-8

hope it helped you

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