Q2 of 227 Page 82

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

3, 1

Formula for quadratic equation is,

x2 – (sum of roots) x + Product of roots = 0


Given, sum of roots = 3 and product of roots = 1


∴ Quadratic equation is,


⇒ x2 – 3x + 1 = 0


Hence, Quadratic equation is x2 – 3x + 1 = 0.


More from this chapter

All 227 →
1

Find the zeros of the following quadratic polynomials and verify the basic relationships between the zeros and the coefficients.

2x2 – 2√2 x + 1

 1

Find the zeros of the following quadratic polynomials and verify the basic relationships between the zeros and the coefficients.

x2 + 2x – 143

 2

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

2, 4

 2

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

0, 4