Question

Find a quadratic polynomial with 1/2

1/3

as the sum and product of its zeroes

respectively.

Answer 1

Step-by-step explanation:

(ii)

2

,

3

1

Using the quadratic equation formula,

x

2

−(Sum of root)x+(Product of root)=0

Substitute the value in the formula, we get

x

2

−

2

x+

3

1

=0

Multiply by 3 to remove denominator,

3x

2

−3

2

x+1=0