Question

Write any two quadratic polynomials whose zeros are real and equal

Answer 1

Answer:

$x^2+4x+4\\\\x^2-6x+9$

Step-by-step explanation:

$x^2+4x+4\\\\x^2-6x+9$

are two polynomials whose zeros real and equal.

$x^2+4x+4=(x+2)^2$ has two equal zeros -2, -2

$x^2-6x+9=(x-3)^2$ has two equal zeros 3, 3

Answer 2

Answer:

x² - 2ax + a ²

Examples :

x² - 2x + 1

x² - 4x + 4

x² - 6x + 9

Step-by-step explanation:

Write any two quadratic polynomials whose zeros are real and equal

Roots are equal and real

let say root are  n

n is real

f(x) = (x-a)(x-a)

= x² - ax - ax + a²

= x² - 2ax + a ²

Let say a = 1

f(x) = x² - 2x + 1

a = 2

f(x) = x² - 4x + 4

a = 3

f(x) = x² - 6x + 9