Question

Simplify the rational expression. State any excluded values.

x-2/x^2+3x-10

A. x^2

B. x+5, where x is not equal to -5

C. 1/x2 where x is not equal to -2

D. 1/x+5 where x is not equal to -5

Answer 1

@chadandtricia_2009 could you rewrite the problem in a better form.

Answer 2

\[x-2divx^2+3x-10\]

Answer 3

factor the denominator:
= ( x -2)(x + 5)

Answer 4

the x-2 ' s cancel out giving 1 / (x + 5)

Answer 5

so now you should know the correct option

Answer 6

so it is D

Answer 7

yep

Answer 8

thanks can you help me if I need anymore help?

Answer 9

when x = -5 the denominator = 0
x = -5 is the excluded value

Answer 10

sure

Answer 11

Simplify the rational expression. State any excluded values.

x^2-36/6-x


A. –x – 6; where x is not equal to 6

B. x + 6; where x is not equal to -6

C. 1/x-6 ; where x is not equal to 6

D. 1/x+6 ; where x is not equal to -6

Answer 12

the numerator is difference of 2 sqaures:

Answer 13

I think the answr is B

Answer 14

= (x - 6)(x + 6)
------------- = - (x + 6) = -x - 6
-(x - 6)

Answer 15

what value of x will make the denominator zero?

Answer 16

-6

Answer 17

no its 6 ; -(6 - 6) = 0

Answer 18

so that elimates a and c

Answer 19

so it is b or d

Answer 20

nope its A

Answer 21

ok thanks again

Answer 22

note what i had to do in oreder to simplify

i had to change 6 - x to -(x - 6) in order to cancel out the x - 6 in the numerators