Question

if a and b are zeroes of polynomial p(x) = 3xsq - 4x - 7 then form a quadratic polynomial whose zeroes are 1/a and 1/b​

Answer 1

Answer:

7x^2+4x-3=0

Step-by-step explanation:

3x^2-4x-7=0

3x^2-7x+3x-7=0

x(3x-7)+1(3x-7)=0

(x+1)(3x-7)=0

roots -1 and 7/3

1/a =-1

1/b=3/7

x^2-(sum of roots)x + (product of roots)=0

x^2-(-1+3/7)x+(-1*3/7)=0

x^2+(4/7)x-3/7=0

7x^2+4x-3=0