Question

Verify whether 2 and 0 are zeros of polynomial x2 -2x

Answer 1

GIVEN :

Verify whether 2 and 0 are zeroes of polynomial $x^2 -2x$

TO VERIFY :

Whether 2 and 0 are zeroes of polynomial $x^2 -2x$

SOLUTION :

Given polynomial is $x^2 -2x$

Let p(x) be the given polynomial

$p(x)=x^2 -2x$

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)

$p(2)=2^2-2(2)$

=4-4

∴ p(2)=0

Now put x=0 in p(x)

$p(0)=0^2-2(0)$

=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.

Answer 2

Step-by-step explanation:

given polynomial x2-2 x

p(x)= X2

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