Can someone please help me with how I would factorise the following expression and also how do u know, based on that, what the equation of the normal is?
#Vectors - Plane help
robust briar
exotic lichenBOT
craggy totem
Can someone please help me with how I would factorise the following expression a...
I think this might be something for you
https://youtu.be/qeByhTF8WEw?si=vjQQqD_j-HmLPWf7&t=302
119 * 24 = 2856
According to the video I would suggest this:
We want to find integers x and y so that 2856 = xy.
Additionally we need the x + y = 110.
So we get
(1) 2856 = xy
(2) x + y = 110
Then we get two solutions (42,68) or (68,42) doesn't matter, as 42 * 68 = 2856.
So we can rewrite the equation as
119a² + 110ac + 24c² = 0
119a² + 68ac + 42ac + 24c² = 0 ...write 110ac = 68ac + 42ac
17a(7a+4c) + 42ac + 24c² = 0 ...factorize 17a the common factor
17a(7a+4c) + 6c(7a+4c) = 0 ...factorize 6c the common factor
(7a+4c)(17a+6c) = 0 ...realize that (7a+4c) is a common factor
I hope this helps, even though it's overkill.
@robust briar