Question

if a and ß are the zeroes kf the polynomial 2x^2+3x-7 then find a polynomial whose zeroes are a^2/ß and b^2/a​

Answer 1

Step-by-step explanation:

P(x)=x²-3x+7,

sum of zeros of a quadratic polynomial=a+b,

a+b=-(-3)/1=3---(1).

product of zeros=a.b,

a.b=c/a=7/1=7--(2).

to find-->f(x) having zeroes 1/a and 1/b ,

sum of zeroes of f(x)=1/a+1/b=a+b/ab=3/7,

product of zeros of f(x)=1/a×1/b=1/ab=1/7,

f(x)=x²-( sum of zeros)x+ product of zeros,

=x²-3/7x+1/7,

=7x²-3x+1