Question

21) Verify whether 2 and 0 are zeroes of the polynomial x^2-2x

Answer 1

Step-by-step explanation:

we should substitute the values of the zeroes in place of x

1. x=2

2^2-2(2)=4-4=0

since the result is zero , it is a zero of the given polynomial

similarly

2.x=0

0^2-2(0)=0

therefore it is also a zero of the polynomial

Answer 2

Given :

Verify whether 2 and 0 are zeroes of polynomial $\sf{x^2 -2x}$

To Verify :

Whether 2 and 0 are zeroes of polynomial $\sf{x^2 -2x}$

Solution :

Given polynomial is  $\sf{x^2 -2x}$

Let p(x) be the given polynomial

$\sf{x^2 -2x}$

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.

$\: \: \: \: \: \: \: \fbox{ p(x)=0 for x=2 and 0} \orange\bigstar$

Now put x=2 in p(x)

$\sf{p(2)=2^2-2(2)} \\ \: \: \sf{=4 - 4} \\ \: \: \: \: \: \: \: \: \: \: \: \boxed {\frak{p(2) =0}} \pink\bigstar$

Now put x=0 in p(x)

$\sf{p(0)=0^2-2(0)} \\ \: \: \sf{=0-0} \\ \: \: \: \: \: \: \: \: \: \: \: \boxed {\frak{p(0) =0}} \blue\bigstar$

• Hence, 0 and 2 both satisfy that they are zero of the polynomial.
• The given polynomial p(x) is a quadratic polynomial. Hence, a quadratic polynomial has two zeroes.

Thank you!

@itzshivani