Factor completely or state that the polynomial is prime 5x32

Factor completely, or state that the polynomial is prime 5x^3-20x Select the connect choice below and fill in any answer boxes within your choice 5x^3-20x = The polynomial is prime

Solution

Given that

5x³ - 20x

For finding factors

5x³ - 20x = 0

x( 5x² - 20 ) = 0

x=0, 5x² - 20 = 0

5(x² - 4 ) = 0

x² - 4 = 0

x² - 2² = 0

( x+2 ) ( x-2 ) = 0 [ since a² - b² = (a+b)(a-b) ]

x = 2 , -2

Therefore,

x = 0 , 2 , -2