Question

Q. 4. Show that 0 is a zero of the polynomial x2 + 5x
​

Answer 1

Step-by-step explanation:

Given polynomial is x

2

−5

Let the zeros be α,β. (α>β)

x

2

−5=0⇒x

2

=5⇒x=±

5

α=

5

,β=−

5

So, α+β=0,αβ=−5

The coefficient of x is zero ⇒α+β=0

(& of x

2

is 1).

Constant = αβ=−5

Hence verified.

Answer 2

Answer:

...

Step-by-step explanation:

Let. p(x)=x2+5x

.'. p(0) =(0)2 + 5×0

= 0+0=0

Hence, number 0 is a zero of p(x).