Question

Hundred x square - 20 X + 1=0

Answer 1

Hi,

Here is your answer

Given:

p(x)=100x²-20x+1

To Find:

The zeros of the polynomial

Solution:

By splitting the middle term method

100x²-20x+1=0

100x²-10x-10x+1=0

10x(10x-1)-1(10x-1)=0

(10x-1)(10x-1)=0

So,

Either of the two must be zero

10x-1=0

x=1/10

Hence zeros of the polynomial are 1/10 and 1/10

Notes:

The zeros of a polynomial can be found out by three methods

• Factorization method
• Splitting the middle term
• Completing the square method

Hope this helps you.