Thursday

April 17, 2014

April 17, 2014

Posted by **Sarah** on Tuesday, December 8, 2009 at 6:28pm.

1. 2x+8/x^2-16

2. 1+x/x^2+x

3. x^2-12x-28/x^2-14x

4. x^2+7x+10/x^2-4

- Math -
**Reiny**, Tuesday, December 8, 2009 at 7:27pmYou probably meant

1. (2x+8)/(x^2-16)

then this factors to

2(x+4)/[(x+4)(x-4)]

= 2/(x-4), where x is not equal to -4

With the proper use of brackets, the others factor as well.

Let me know how you made out with them.

- Math -
**Sarah**, Tuesday, December 8, 2009 at 7:36pmThank you so much.

1. (x^2-12x-28)/(x^2-14x)

Answer: (x+2)/(x)

2. (x^2+7x+10)/(x^2-4)

Answer: (x+5)/(x-2)

3. (y^2-16)/(y^2-7y+12)

Answer: (y+4)/(y-3)

Could you check my answers for these questions. I will really appeciate it. Thank you so much again.

- Math -
**Reiny**, Tuesday, December 8, 2009 at 7:52pmYour answers are all correct.

Have you learned about restrictions?

e.g. in the first one you probably had

(x-14)(x+2)/[(x(x-14)] , then canceled the x-14.

but suppose x = 14. Didn't you just divide by zero ?

That is why we have to exclude the value of the variable which would have made that denominator zero.

so the complete answer to that one would have been ...

(x+2)/x , x not equal to 14

- Math -
**Sarah**, Tuesday, December 8, 2009 at 10:00pmNo, I haven't. Thank you so much.

**Related Questions**

Algebra 1b! - 1. Find the excluded value of x for the polynomomial expression ...

math - how do i do x2+12x+32 x2+12x = 14x+32 subtract 14x from each side 14x=32 ...

algebra1 - could you walk-through the steps to solving this problem because I am...

Math - Derivatives - Differentiate the given function. Simplify the answer. f(x...

Algebra 2 help!!! - What value completes the square for the expression? x2 + 14x...

Urgent Math please check - Very Important I can get someone to check these for ...

math - which equation is equivalent to 5x-2(7x+1)=14x? why? a -9x-2=14x b -9xt1=...

Polynomial- Doublecheck2 - I asked this earlier, but I didn't get an answer. I'm...

algebra - solve the following equation by clearing fractions show all work want ...

math, algebra - this next one i want to make sure that what i'm answering is ...