Question

Solve the following briefly : [2 marks each)
-. Check if 1 and 3 are the zeroes of the polynomial x^3 - 6x^2 + 11x-6.​

Answer 1

Answer:

yes 1 and 2 are the zeroes of the given equation

Answer 2

Step-by-step explanation:

x³-6x²+11x-6

p(1) = (1)³-6(1) + 11(1) -6

= 1-16+11-6

= 1+11-6-16

= 12 - (6+16)

= 12 - 22

= 10

p(3) = (3)³-6(3)²+11×3-6

= 27-54+33-6

=27+33-6-54

= 60-(6+54)

= 60-70

= -10

So,

10- 10 = 0

Therefore it is Zero of the polynomial