Question

x cube minus 6 X square + 12 x - 35
$x ^3 - 6x^2 + 12x - 35$
​

Answer 1

Step-by-step explanation:

Equation at the end of step 1 :

(((x3) - (2•3x2)) + 12x) - 35

Step 2 :

Checking for a perfect cube :

2.1 x3-6x2+12x-35 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-6x2+12x-35

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: x3-35

Group 2: -6x2+12x

Pull out from each group separately :

Group 1: (x3-35) • (1)

Group 2: (x-2) • (-6x)

Answer 2

Answer:

(x2 - x + 7) • (x - 5)

Step-by-step explanation:

Polynomial Long Division :

x3-6x2+12x-35

can be divided with x-5

2.4 Polynomial Long Division

Dividing : x3-6x2+12x-35

("Dividend")

By : x-5 ("Divisor")

dividend x3 - 6x2 + 12x - 35

- divisor * x2 x3 - 5x2

remainder - x2 + 12x - 35

- divisor * -x1 - x2 + 5x

remainder 7x - 35

- divisor * 7x0 7x - 35

remainder 0

Quotient : x2-x+7 Remainder=0