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

We have,p (x) = x3 + 4x2 – 3x – 18Now,p (2) = (2)3 + 4 × (2)2 – 3 (2) – 18= 8 + 16 – 6 – 18= 24 – 24= 0∴ 2 is the zero of the given polynomial

Q9 of 113 Page 71

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

We have,

p (x) = x³ + 4x² – 3x – 18

Now,

p (2) = (2)³ + 4 × (2)² – 3 (2) – 18

= 8 + 16 – 6 – 18

= 24 – 24

= 0

∴ 2 is the zero of the given polynomial

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

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

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

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