DEV project

1.)

Problem: 10x^67+120x^66+x^62+12x^61

Step 1: factor out greatest common factor

X^61( 10x^6+120x^5+x+12)

Step 2: group into two groups

X^61((10x^6+120x^5)+(x+12))

Step 3: factor out greatest common factor for each group

X^61(10x^5(x+12)+1(x+12))

Step 4: factor out greatest quantity for your final answer

X^61((10x^5+1)(x+12))

2.)            ___

Problem: /x-9

Step 1: set the linear under the rational greater than or equal to zero

X-9> 0

Step 2: add or subtract ( in this case add) your b value

X-9> 0

+9     +9

Step 3: there is your final answer of x> b

x>9

3.)

Problem: 25x^2+125x-3x^2-15

Step 1: group into two groups

(25x^2+125x)-(3x^2-15)

Step 2: switch the sign in the second grouping

(25x^2+125x)-(3x^2+15)

Step 3: factor out greatest common factor out of each group

25x(x+5)-3x(x+5)

Step 4: factor out greatest quantity out for your final answer

(25x-3x)(x+5)

4.)

Solution: (123x^4-3x)(x-9)

Step 1: fator in greatest quantity to each factor

123x^4(x-9)-3x(x-9)

Step 2: distribute

(123x^5-1107x)-(3x^2-27x)

Step 3: switch the sign in the second grouping

(123x^5-1107x)-(3x^2+27x)

Step 4: ungroup to get your problem

123x^5-1107x-3x^2+27x