Q13 of 109 Page 2

If α and β are the zeros of the quadratic polynomial , prove that .

Let one root of the given quadratic polynomial is


Other root of the given quadratic polynomial is β


Sum of the roots = = = =


Product of the roots = = =


+ = =


⇒ = =



More from this chapter

All 109 →
11

If the sum of the zeros of the quadratic polynomial is equal to their product, find the value of k.

 12

If the squared difference of the zeros of the quadratic polynomial is equal to 144, find the value of p.

 14

If α and β are the zeros of the quadratic polynomial , show that .

 15

If α and β are the zeros of the quadratic polynomial such that and, find a quadratic polynomial having α and β as its zeros.