Hi guys. i’m not sure how to answer this so i was wondering if you guys could me.
question: what are the roots of the following polynomial x cubed - 9x?

how would i do this correctly? do a step by step answer.
!

x = 0, x = ± 3

Step-by-step explanation:

To find the roots equate the polynomial to zero, that is solve

x³ - 9x = 0 ← factor out x from both terms

x(x² - 9) = 0 ← factor difference of squares

x(x - 3)(x + 3) = 0

equate each factor to zero and solve for x

x = 0

x - 3 = 0 ⇒ x = 3

x + 3 = 0 ⇒ x = - 3

roots are x = 0, x = ± 3

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

its d. the first coordintaes are 10,32

step-by-step explanation: