Question

If a and b are the zeros of the polynomials p(x) =3 x²-4x-7 then from a quadratic polynomial whoes zeroes are 1/a and 1/ b

Answer 1

Answer:

7x²+10x +3

Step-by-step explanation:

3x²-4x-7=3x²+3x-7x-7

=3x(x+1)-7(x+1)

=(3x-7)(x+1)

the zeroes are -7/3 and -1

a=-7/3

b=-1

then the quadratic polynomial whose zeros are 1/α and 1/β is

sum of zeros= 1/ a+ 1/b

=-10/7

product of zeros=1/a×1/b

=3/7

then the resulting equation is

7x²+10x +3

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