Given the rational expression (3x+14)/(x^2-6x-16) find the values of x for which it is undefined. If there are more than one value, enter them in increasing order with commas in between to separate them.

Chloe Arnold

Chloe Arnold

Answered question

2022-10-15

Given the rational expression 3 x + 14 x 2 6 x 16 find the values of x for which it is undefined. If there are more than one value, enter them in increasing order with commas in between to separate them.

Answer & Explanation

Krystal Dillon

Krystal Dillon

Beginner2022-10-16Added 10 answers

Solution:
3 x + 14 x 2 6 x 16
Th rational function is underfind when denominator equal to 0
x 2 6 x 16 = 0
Consider the form x 2 + b x + c find a
Write the factored form using these integers
( x 8 ) ( x + 2 ) = 0
The entire expression will be equal to 0
x 8 = 0 x + 2 = 0 x = 8 x = 2 x = 2 , 8

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