Question

find the zeros of polynomial x^3+2x^2-9x-18

Answer 1

Hyy Dude ♡

➨Zero of polynomial = x³ + 2x² - 9x-18 :

Factor by grouping and using the difference of squares identity to find zeros:

X = 3, x = - 3, = - 2

Explanation:

The difference of squares identity can be written.

a ² - b² = ( a-b) (a+b)

We use this with a = x and b = 3, below, but first factor by grouping:

• F(x) = x³ + 2x² - 9x - 18

• (x³ + 2x²) - ( 9x+18)

• x² ( x+2) - (9x+2 )

• (x² - 9) ( x + 2)

• (x² - 3²) ( x+2)

• ( x-3) ( x + 3) ( x+ 2)

➜Hence zeros :

x= 3,x = - 3 and x = - 2

Hope it's helps you ✨