Question

find the zeros of quadratic polynomial 4x^2+12x-7 and verify the relationship between the zeros and coefficients

Answer 1

by factorisation method

Answer 2

Step-by-step explanation:

p(x)=4x^2+12x-7

By Factorization method

p(x)=4x^2+12x-7

12 can factories into 14&-2

p(x)=4x^2-2x+14x-7

p(x)=2x(2x-1)+7(2x-1)

p(x)=(2x-1)(2x+7)=0

2x-1=0,2x+7=0

x=1/2,-7/2

p(x)=4x^2+12x-7

a=4,b=12,c=-7

sum of zeroes=-b/a

1/2+(-7/2)=-12/4

-6/2=-12/4

-3=-3

product of zeroes=c/a

1/2×-7/2=-7/4

-7/4=-7/4

Hence Verified