anonymous
  • anonymous
Simplify x squared minus 12 times x plus 20 all over x minus 10. please show your work step by step
Algebra
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1378685771894:dw|
anonymous
  • anonymous
yes that is the equation needed to be solved
anonymous
  • anonymous
first solve the quadratic by factoring

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
so 20 times 1 (20) and 20+1 (21)|dw:1378686250746:dw|
anonymous
  • anonymous
ya so do i need to simplify?
anonymous
  • anonymous
yes
anonymous
  • anonymous
so i cancel out the x?
anonymous
  • anonymous
wait you can't simplify it anymore because you can't eliminate the x unless it is multiplying b itself. and its not negative so i don't think you can do anything else...
anonymous
  • anonymous
Factor the quadratic expression in the numerator. Then cancel.
anonymous
  • anonymous
ok these are my answer choices so what do you think it will be? x − 2 x minus 2 all over x minus 10 x minus 2 all over 10 x minus 10 all over x minus 2
anonymous
  • anonymous
After you factor the numerator, the answer will be more clear.
anonymous
  • anonymous
you can't factor the numerator cause there is no x squared
anonymous
  • anonymous
so will it be x - 3 + 5/ x -10?
anonymous
  • anonymous
but it's not my answer choices!
anonymous
  • anonymous
THis is the original question, correct? \(\dfrac{x^2-12x+20}{x-10}\)
anonymous
  • anonymous
yes you are correct
anonymous
  • anonymous
The numerator can be factored.
anonymous
  • anonymous
yes by 4 right?
anonymous
  • anonymous
No, to factor a quadratic expression it will look something like this: \[(x \pm \#)(x \pm \#)\]
anonymous
  • anonymous
The first terms must multiply to be the \(x^2\) so that must be \(x\) and \(x\).
anonymous
  • anonymous
The last terms must add to be the middle term and multiply to be the last term. Find the factor pairs of 20 and see which ones add to be -12. Keep in mind that a negative times a negative equals a positive.
anonymous
  • anonymous
wow im super stupid sorry :/
anonymous
  • anonymous
-2 and -10?
anonymous
  • anonymous
@sierraabel A mistake is not evidence of stupidity. I've made plenty spectacular mistakes myself.
anonymous
  • anonymous
Exactly. So, your numerator will look like this: \((x-10)(x-2)\)
anonymous
  • anonymous
ok and now what?
anonymous
  • anonymous
the denominator?
anonymous
  • anonymous
Cancel.
anonymous
  • anonymous
ok so we would cancel out the -2x?
anonymous
  • anonymous
Your expression should now look like this: \(\dfrac{(x-10)(x-2)}{x-2}\)
anonymous
  • anonymous
\(\dfrac{\cancel{(x-10)}(x-2)}{\cancel{x-10}}\)
anonymous
  • anonymous
ok so now the answer would be x- 10/ x-2
anonymous
  • anonymous
oh wait but you said it is (x-10)(x-2)/(x-2) so shouldn't that be x-10?
anonymous
  • anonymous
You are correct. Good catch.
anonymous
  • anonymous
thank you so much for all the help is it ok if you help me on other one?
anonymous
  • anonymous
Do you understand this one?
anonymous
  • anonymous
yes so the answer is x-2 right?
anonymous
  • anonymous
Yes it is. I'll be happy to help you with another question, but please close this one, then write another question. Long threads tend to get laggy.
anonymous
  • anonymous
ok

Looking for something else?

Not the answer you are looking for? Search for more explanations.