Question

Match the rational expressions to their rewritten form. (Match the top to the bottom, zoom in for a clearer picture)

Answer 1

the first one is x^2-4x+10
the second one is x^2+x+4
the third one is x^2-x+4
the last one is x^2-5x+16

Answer 2

Explanation:

We have been given Four options we will solve each one so as to write in rational or fractional form

CASE 1:

`(x-2)+(6)/(x-2)`

We will simplify by taking LCM we get:

`((x-2)^2+6)/(x-2)`

After further simplification:

`(x^2-4x+10)/(x-2)`

Hence, Option 3 matches with 1.

CASE 2:

`(x+3)+(10)/(x-2)`

We will simplify by taking LCM we get:

`((x-2)(x+3)+10)/(x-2)`

After further simplification:

`(x^2+x+4)/(x-2)`

Hence, Option 1 matches with 2.

CASE 3:

`(x+1)+(6)/(x-2)`

We will simplify by taking LCM we get:

`((x-2)(x+1)+6)/(x-2)`

After further simplification:

`(x^2-x+4)/(x-2)`

Hence, Option 2 matches with 3.

CASE 4:

`(x-3)+(10)/(x-2)`

We will simplify by taking LCM we get:

`((x-2)(x-3)+10)/(x-2)`

After further simplification:

`(x^2-5x+16)/(x-2)`

Hence, Option 4 matches with 4.