The x-intercepts are always the opposite of the factors because they occur when y equals 0. So using the Zero Product Property you set each factor equal to zero and solve. x+5=0 results in x=-5
Bro thx for this video, it was really great! I have a question at 7:47, if the number is composite, take 60 for example, how would we determine which numbers to take? (4, 15) (2, 30) (6, 10). I suspect you just take the numbers that aren't divisible, so 2, 30? Edit: Assuming we can't factor it out in the beginning. take something like 60x^2+7x+12
Good question! There are a couple different techniques to factor if the Leading Coefficient isn't 1 or isn't prime. For something like 60x^2, using the quadratic formula might be the best option because 60 has so many factor pairs. Other methods include Factor by Grouping, Swing Method, or just Guess/Check with FOIL like in the video. Remember that not all quadratic trinomials are factorable. For example, your suggestion of 60x^2+7x+12 isn't factorable with real numbers.
@Ryan Olson There's no real good trick. If you do FOIL enough, it's easier to tell what the Outside and Inside terms will combine to. You kind of just have to guess and see what works or doesn't work. But like I said there are some factoring techniques that you can search for and learn that will get the answer right away, although they take a couple extra steps.
@@rademakermath2748 well Maxx is multiply, add and the two X's are the numbers that can equal the M and A in Maxx. Sorry if I didn't explain it well 😅 and thank you for responding
@@skyflower833 It sounds like what we call Factor by Grouping, which should still work. As long as you can factor the trinomial (using any method) and pull out the 'A' value, you'll be able to get to factored form.
@@tokyoicyy6992take all numbers that add to C (using whole/negative numbers) and then use those to get to B, whatever works to make B with multiplacation and C with addition is your two numbers
4 years later this vid still helps. thank you homie
Bro thank you, my math teacher went so fast while teaching this lesson
Mine too! Wanted to have a mental breakdown in class
@@minty_macaron ONGG
@@jericb ?
@@minty_macaron W
same tho lmao
This was the best explanation of this anywhere
Thank you so much I have a test tmmrw and I have 1st period so I was like asleep much love
When trying to find the x-intercepts, you flipped the factors. In that process does the +/- of the numbers matter?
The x-intercepts are always the opposite of the factors because they occur when y equals 0. So using the Zero Product Property you set each factor equal to zero and solve. x+5=0 results in x=-5
WoW I like your hand writing so much !
I love this man
Thank you so much for your help, God bless you man :)
Bro thx for this video, it was really great! I have a question at 7:47, if the number is composite, take 60 for example, how would we determine which numbers to take? (4, 15) (2, 30) (6, 10). I suspect you just take the numbers that aren't divisible, so 2, 30?
Edit: Assuming we can't factor it out in the beginning. take something like 60x^2+7x+12
Good question! There are a couple different techniques to factor if the Leading Coefficient isn't 1 or isn't prime. For something like 60x^2, using the quadratic formula might be the best option because 60 has so many factor pairs. Other methods include Factor by Grouping, Swing Method, or just Guess/Check with FOIL like in the video.
Remember that not all quadratic trinomials are factorable. For example, your suggestion of 60x^2+7x+12 isn't factorable with real numbers.
@@rademakermath2748 ok thank you so much! I was also wondering how you order the numbers? Is there a little trick you know to always do it correct?
@Ryan Olson There's no real good trick. If you do FOIL enough, it's easier to tell what the Outside and Inside terms will combine to. You kind of just have to guess and see what works or doesn't work.
But like I said there are some factoring techniques that you can search for and learn that will get the answer right away, although they take a couple extra steps.
thank you for this video. what is gcf?
quite useful, thankyou!
ur fr a life saver
does it matter which - becomes +? like in the first problem would 2(x+5)(x-3) work or am i just missing something?
Yes, The +/- matters. The multiplication back needs to match the original problem.
I know it does, but does it matter which one is which, or as long as it matches@@rademakermath2748
Thanks papa
Yw ❤
Amazing. Thanks so much
thank you so much
wait but can you use Maxx or not because I don't get it 😅
I'm not sure I understand. What is Maxx?
@@rademakermath2748 well Maxx is multiply, add and the two X's are the numbers that can equal the M and A in Maxx.
Sorry if I didn't explain it well 😅 and thank you for responding
@@skyflower833 It sounds like what we call Factor by Grouping, which should still work. As long as you can factor the trinomial (using any method) and pull out the 'A' value, you'll be able to get to factored form.
@@rademakermath2748 thank you so much 👍
what if you only have a and c
That can still be factored, but the only options to factor are taking out a Greatest Common Factor or checking to see if it's a Difference of Squares.
Thank you so much
How to get The Product of sum
Find which two numbers multiply to the last term (C) and add to the middle coefficient (B). Just trial and error.
i still dont get it-
@@rademakermath2748is there a way to do this on desmos graphing calculator?
@@tokyoicyy6992take all numbers that add to C (using whole/negative numbers) and then use those to get to B, whatever works to make B with multiplacation and C with addition is your two numbers