Question

find zeros and show them graphically. (i) p(x)=x^2-4x+4​

Answer 1

Step-by-step explanation:

Given:

$p(x) = {x}^{2} - 4x + 4$

To find: zeros of p(x) and show them graphically.

Solution:

To find zeroes of polynomial P(x) follow these steps.

Step 1: Factorize the polynomial

${x}^{2} - 4x + 4 = 0 \\ \\ {x}^{2} - 2x - 2x + 4 = 0 \\ \\ x(x - 2) - 2(x - 2) = 0 \\ \\ (x - 2)(x - 2) = 0 \\ \\ x - 2 = 0 \\ \\ x = 2$

Both factors are identical,thus both zeros are same.

Zeroes of p(x)= multiple zeroes at x=2

Step 2: Graphically representation of zeroes of p(x)

Attached image.

As,from the graph it is clear that it has two zeros at A.

Graphically one can found the zeroes from x-intercept.

Hope it helps you.

To learn more on brainly:

find the roots of Quadratic equation 2 x square - 7x+3=0 by formula method

https://brainly.in/question/40377568