Question

simplify 8-10x+3x^2/x-2​

Answer 1

Answer:

3x  ^2  −10x+8

Factor the expression by grouping. First, the expression needs to be rewritten as 3x  

2  +ax+bx+8. To find a and b, set up a system to be solved.

a+b=−10

ab=3×8=24

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 24.

−1,−24

−2,−12

−3,−8

−4,−6

Calculate the sum for each pair.

−1−24=−25

−2−12=−14

−3−8=−11

−4−6=−10

The solution is the pair that gives sum −10.

a=−6

b=−4

Rewrite 3x  

2

−10x+8 as (3x  

2

−6x)+(−4x+8).

(3x  

2

−6x)+(−4x+8)

Factor out 3x in the first and −4 in the second group.

3x(x−2)−4(x−2)

Factor out common term x−2 by using distributive property.

(x−2)(3x−4)

Step-by-step explanation: