Question

Q.9
Find the zeroes of the polynomial 4x2 - 3x – 1 by fcrization method and verify the relation
between the zero and the coefficient of the polynomial.​

Answer 1

Step-by-step explanation:

4x²-3x-1=0

4x²-4x+x-1=0

4x(x-1)+1(x-1)=0

(4x+1)(x-1)=0

4x+1=0 x-1=0

4x=-1 X=1

X=-1/4,1

alpha =-1/4 and beta=1

alpha +beta=-1/4+1

=-1+4/4

=3/4

-b/a=-(-3)/4

=3/4

there fore alpha+ beta=-b/a

alpha× beta=-1/4×1

=-1/4

c/a=-1/4

there fore alpha× beta=c/a