Question

find the zeroes of the following polynomial by factorization method and verify the relation between the zeroes and coefficient of the polynomial (A)l 3x square +4x-4 (B) 4x square+5root 2x-3

Answer 1

this is answer of your question....

Answer 2

Hence, the zeroes of the equation are 2/3 and -2 and both the relations are verified as well

1) Given equation is 3x^2 + 4x - 4

2) Splitting the middle term:

3x^2+ 4x - 4  =  0

3x^2 + 6x - 2x - 4 = 0

3x( x + 2) - 2( x+2) = 0

(3x-2)(x+2) = 0

Hence, the zeroes are 2/3 and -2

2) Verifying the relation between zeroes and coefficients

:- sum of zeroes  =  2/3 +(-2) = -4/3

Sum of zeroes as coefficients = -b/c = -4/3

:- Product of zeroes = 2/3 *(-2) = -4/3

Product of zeroes as coefficients  =  c/a = -4/3

3) Hence, both the relations are verified