Q7 of 113 Page 71

Find a quadratic polynomial whose zeros are 2 and ‒5.

It is given in the question that the two roots of the given polynomial are 2 and – 5

Let us assume and = - 5

We have:

Sum of Zeros = = 2 + (-5) = - 3

Product of Zeros = = 2 × (-5) = - 10

Hence,

Required polynomial = x² – (

= x² – (- 3) x + 10

= x² + 3x – 10

Find the zeros of the polynomial x² + 2x – 195.

If one zero of the polynomial (a² + 9) x² + 13x + 6a is the reciprocal of the other, find the value of a.

If the zeros of the polynomial x³ – 3x² + x + 1 are (a ‒ b), a and (a + b), find the values of a and b

Verify that 2 is a zero of the polynomial x³ + 4x²– 3x – 18.