I am almost done with my homework other than a few problems that I got stuck on?

Question

factor the trinomials completely

1...x^2-11x-60

2...use the ac test to determine which trinoamil can be factored. Find the values of m and n of those that can be factored.
x^2+2x-15
and
x^2-3x+7

Answer 1

x² - 11x - 60

x² - 15x + 4x - 60

x(x - 15) + 4(x - 15)

(x + 4(x - 15)

- - - - - - - - - - -

x² + 2x - 15

x² + 5x - 3x - 15

x(x + 5) - 3(x + 5)

(x - 3)(x + 5)

- - - - - - - -

x² - 3x + 7

Cannot be factored. Use the Quadratic formula

- - - - - - - -- -s-

Answer 2

Putting x^2-11x -60=0 the roots are 15 and -4 so it can be factored into (x-15)*(x+4)

2) x^2+2x-15 2^2-4*(-15)= 4+60 =64 >0 and it Can be factored into (x+5)(x-3)

3) x^2 -3x+7 (-3)^2 -4*7 = -19 <0 so it can´t be factored

Answer 3

Hi Jason, I am a teacher and have had students at various times who suffered the same problem as you. I was always tough with them, but not harsh. You may be surprised, but I also had the same problem and wish my teachers had been tougher. There are a few things I can suggest:- 1. Discuss it with any of your teachers who are willing to listen. At the end of the discussion with each of them you can thank them and make a commitment to them. If you are sincere you will not want to let them down. This will motivate you and keep you motivated. 2. Yes, take the computer out of the room, as the temptation of having it right next to you might be too difficult to overcome. (I know it would be for me.) 3.Start your homework as early as possible, even before supper if possible, but not on a completely empty stomach - perhaps after an energy drink or snack. This will avoid the tiredness setting in. Continue soon after supper until you feel you have done enough. 4.Try to go to bed early and if you wake early, get up and do a bit more studying, but don't rely completely on studying early in the mornings 5. Ration your TV viewing time. Too much TV can can cause tiredness and, even worse, encourage stopping up late. 6. Allocate specific times at the weekend for homework/studies and make it during the day time. (Don't leave it all until Sunday. 7. Start with the most difficult/boring assignments first. 8. Don't try to do much. 9. When you see that your results improve, that will also encourage and keep you motivated. 10. Finally, find out what subjects/grades you will need when you leave school for you chosen career so that you know exactly what you have to achieve This will be a big motivater and will sustain you. I hope these ideas will help you Good luck.

Answer 4

I know that the first part can be factored as (x-15)(x+4), but I'm not sure what the ac test is or what the m and n values refer to. Sorry!

Good luck!

Answer 5

For the first one, find two numbers which when multiplied together give you -60 and when added together give you -11.

umm.....

15 and 4 give 60 when multiplied.
+15 and -4 give -60 when multiplied, but when added give +11
-15 and +4 give -60 when multiplied, and give -11 when added.

So write this as:

x² -15x + 4x + (-15*4)

It should be easy to factorise then.

Never heard of the ac test, sorry.

Answer 6

x^2-11x-60=0
(x-15)(x+4)=0
(x-15)=0 or (x+4)=0
x=15 or -4 (answer)

x^2+2x-15=0
(x+5)(x-3)=0
(x+5)=0 or (x-3)=0
x=-5 or 3

x^2-3x+7=0 --??????????

Answer 7

1)
x^2-11x-60
=(x+4)(x-15)

2)
x²+2x-15
a=1,b=2,c=-15
2²-4(1)(-15)=64(Can be factored)

x²-3x+7
a=1,b=-3,c=7
(-3)²-4(1)(7)= -19(0>,so can't)

Answer 8

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