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# Core 2-Integration watch

1. Question: The curve y=f(x) passes through the origin.
Given that , find the coordinates of the other points where the curve crosses the x-axis.

So i started integrating to get . Since the curve goes through origin, i assume that c=0. how do i find the co-ordinates of the other points where the curve crosses the x-axis.

Should i just just substitute random number like 1 or 2 for x and work out what their y co-ordinate is?
2. (Original post by Chelsea12345)
Question: The curve y=f(x) passes through the origin.
Given that , find the coordinates of the other points where the curve crosses the x-axis.

So i started integrating to get . Since the curve goes through origin, i assume that c=0. how do i find the co-ordinates of the other points where the curve crosses the x-axis.

Should i just just substitute random number like 1 or 2 for x and work out what their y co-ordinate is?
You're trying to solve . Try factorizing that. There is actually no need to use the factor theorem.

hint
If you were to have you could say that .
3. x(x-5)(x+1)
So it crosses at (0,0) (5,0) (-1,0)
4. (Original post by Kvothe the Arcane)
You're trying to solve . Try factorizing that. There is actually no need to use the factor theorem.

hint
If you were to have you could say that .
Thankyou for the hint btw! so i took out the x to x( -4x -5)=0.
Then i added 5 to the other side to get - 4x = 5. What should i do now to solve this?
5. (Original post by Chelsea12345)
Thankyou for the hint btw! so i took out the x to x( -4x -5)=0.
Then i added 5 to the other side to get - 4x = 5. What should i do now to solve this?
You are welcome.
Do you know how you'd factorize the quadratic equation ?
6. (Original post by Kvothe the Arcane)
You are welcome.
Do you know how you'd factorize the quadratic equation ?
Yes i didnt realise it was a quadratic inside the brackets!
7. (Original post by Mr Moon Man)
x(x-5)(x+1)
So it crosses at (0,0) (5,0) (-1,0)
Not cool. Please read the Guide To Posting at the top of the Maths Forum and pay close attention to the bit about not providing full solutions.

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