Question

Find the quadratic polynomial in each case with the given number as the sum and product of its zeroes respectively √2,1/3​

Answer 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