Question

if x-3 and x-1/3 are both factor of a ax^2+ 5x+ b , show that a=b

Answer 1

hi friend!!!!

Given, x-3 and x-1/3 are both factor of a ax^2+ 5x+ b which means 3,1/3are the zeros of the polynomial

we know that product of zeros =c/a

3(1/3)=c/a

1=c/a

c=a

hence proved.


I hope this will help u ;)

Answer 2

hi friend,

x-3 and x-⅓ are the factors of the polynomial,

x-3 = 0 ; x = 3

x-⅓ = 0 ; x = ⅓

therefore,3 and ⅓ are the zeroes of the given polynomial.

we know the relationship between zeroes and coefficients:-

Product of zeroes = constant/x² coefficient

(3)(⅓) = b/a

1 = b/a

a = b

hence proved.

hope it helps