Question

abby and ben were asked to find the real numbers for which the rational algebraic expression x+1/2(x-1)(3x+2) is undefined.their solutions are shown below together with their explanation.​

Answer 1

Answer:

Abby and Ben were asked to find the real numbers for which the rational algebraic expression

is undefined. Their solutions are shown below

2 (x-1)(3x+2)

together with their explanation.

Abby's Solution

Ben's Solution

(x - 1)(3x + 2)

(x - 1)(3x + 2)

(x - 1)(3x + 2) = 0

3x + 2 = 0

x + 1 - 1 = 0 - 1

X - 1 + 1 = 0+1 3x +2 -2 = 0 - 2

* = -1

Hence, x cannot be equal to -1

1 and are the excluded values of the given since it will make the rational

rational expression, as these values will make expression undefined.

the expression undefined.

Who do you think presented a correct answer and solution? Write your

answer on a separate sheet of paper.

Answer 2

For x = 1  or  x = - 2/3 , Given Rational expression is  not defined  as denominator is Zero

Given:

Rational algebraic expression

$\dfrac{x+1}{2(x-1)(3x+2)}$

To Find:

The real numbers for which the rational algebraic expression is undefined

Solution:

Rational Expression

• A rational expression is a fraction whose numerator and denominator are polynomials.
• The root of the denominator is not included in the set of possible values for the variable.
• Rational Expression is not defined when denominator is zero

For x = - 1

x + 1 = 0  

0/a  = 0   where a ≠ 0

Hence for x = - 1

Given Rational expression is defined

For x = 1  or  x = - 2/3  

Denominator is Zero

a/0  is not defined

Hence For x = 1  or  x = - 2/3  

Given Rational expression is not defined