Question

factorize 3x³-x²-10x ​

Answer 1

Question:

Factorize: 3x³ - x² - 10x

Answer:

x(x - 2)(3x + 5)

Solution:

The given polynomial is : 3x³ - x² - 10x

Now,

=> 3x³ - x² - 10x

=> x( 3x² - x - 10 )

=> x( 3x² - 6x + 5x - 10 )

=> x[ 3x(x - 2) + 5(x - 2) ]

=> x(x - 2)(3x + 5)

Moreover,

For the zeros of the polynomial , we have ;

=> x(x - 2)(3x + 5) = 0

=> x = 0 , 2 , -5/3