Question

the quadratic polynomial whose zeros are minus 2 and 2 is what​

Answer 1

Answer:

Hi!

So,

$\alpha + \beta = \frac{ - b}{a}$

and,

$\alpha \beta = \frac{c}{a}$

Hence,

-2 + 2 = -b/a

-b = 0

b = 0.

Then,

-2 * 2 = c/a

c = -4

Hence the polynomial is,

x^2 - 4.

Answer 2

answer:

let a and b be the two zeroes i.e.,

a=2

b=-2

quadratic equation can be written as:

x² - (a+b)x + ab

= x² - (2-2)x + (2)(-2)

= x² -4

therefore the quadratic equation with the given zeroes is x2 - 4