Question

Find the zeros of the polynomial f(x) =

2 + 7x +12 and verify the relation between its zeros and

coefficients.​

Answer 1

Hai friend,

here is your answer,

The polynomial is x²+7x+12

a=1,b=7,c=12

Factors of x²+7x+12

=x²+4x+3x+12

=x(x+4)+3(x+4)

=(x+4)(x+3)

Zeroes of the polynomial

x²+7x+12 =0

(x+4)(x+3)=0

x= -4,-3

ZEROES = -4, -3

SUM OF ROOTS = -4-3=-b/a=-7/1

=> -7=-7

PRODUCT OF ROOTS= -4*-3=c/a

=> 12=12

hope helped