Question

find the sum and product of the zeros of the quadratic polynomial 6x^2 - 4 x + 5​

Answer 1

Answer:

we have the equation 6x

2

−x−2=0

divide the equation by 6

6

6

x

2

−

6

1

x−

6

2

=0

=x

2

−

6

1

x−

3

1

=0

as we know an equation is of form x

2

+(α+β)x+αβ where α and β are the roots of the equation

comparing the equation we have,

α+β=

6

−1

αβ=

3

−1