Question

Verify that 1 and 2 are the zeros of the polynomial p(x)=(x - 1)(x-2).

Answer 1

Answer:

p(x)=(x - 1)(x-2).

put x=1

p(1)=(1- 1)(1-2).

p(1)=(0)(-1).

p(1)=0

put x=2

p(2)=(2- 1)(2-2).

p(2)=(1)(0).

p(2)=0

hence verified

Answer 2

Answer:

Given equation is p(x) = (x-1)(x-2)

In order to obtain the zeroes of the equation, we need to equate the given equation to zero.

⇒ (x-1)(x-2) = 0

Equating each term to zero we get,

⇒ x-1 = 0  and   x-2 = 0

⇒ x = 1    and   x = 2

Therefore, 1 and 2 are the zeroes of the given polynomial.

Step-by-step explanation: