A. x
C. x β 5
D. x + 2
Step-by-step explanation:
From the question above, we are asked to find the factors of an algebraic expression that is given as:
xΒ³ - 3xΒ² - 10x
We would use the step of factorisation
Step 1
x(xΒ² - 3x- 10)
The first factor of the algebraic expression has been obtained = x
Step 2
We factorise xΒ² - 3x - 10
xΒ² +2x - 5x - 10
(xΒ²+2x) - (5x - 10)
x(x + 2) -5(x + 2)
(x + 2)(x - 5)
Step 3
xΒ³ - 3xΒ² - 10x
x(xΒ² - 3x- 10)
(x)(x + 2)(x - 5)
Therefore, the factors of the algebraic expression are:
(x), (x + 2), (x - 5)