Q10 of 113 Page 71

Find the quadratic polynomial, the sum of whose zeros is ‒5 and their products is 6.

It is given in the question that,

Sum of the zeros = - 5

And, product of the zeros = 6

∴ Required polynomial = x² – (Sum of the zeros) x + Product of the zeros

= x² – (- 5) x + 6

= x² + 5x + 6

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.

Find a cubic polynomial whose zeros are 3, 5 and ‒2.

Using remainder theorem, find the remainder when p(x) = x³ + 3x² – 5x + 4 is divided by (x ‒ 2).