Question

Verify whether 2 and 0 are zeroes of the polynomial x²-2x​

Answer 1

Answer:

Step-by-step explanation:

GIVEN :

Verify whether 2 and 0 are zeroes of polynomial  

TO VERIFY :

Whether 2 and 0 are zeroes of polynomial  

SOLUTION :

Given polynomial is  

Let p(x) be the given polynomial

To verify that 2 and 0 are zeroes of polynomial p(x) we have to put x=2 and x=0 in p(x) and hence it must satisfies the polynomial.

⇒ p(x)=0 for x=2 and 0

Now put x=2 in p(x)

=4-4

∴ p(2)=0

Now put x=0 in p(x)

=0-0

∴ p(0)=0

∴ both 2 and 0 satisfies the given polynomial and hence they are zeroes of the given polynomial p(x)

The given polynomial p(x) is a quadratic polynomial. Hence, a quadratic polynomial has two zeroes.

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Answer 2

Step-by-step explanation:

(1)

p (x)= x Square - 2x

Putting x=2

p(2) = 2 square - 2× 2

= 4 - 4 = 0

Since p(2) is equal to 0

*Hence 2 is the zero of Polynomial

(2)

p(0) =0 square- 2×0

=0

Since p(0) is

Hence 0 is a zero of Polynomial