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jimthompson5910 (jim_thompson5910):
6a^2+5a-4
6a^2+8a-3a-4
(6a^2+8a)+(-3a-4)
Keep going to completely factor
OpenStudy (anonymous):
is (12a+20a) (-3a-7) the final answer??
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
Then wat is it?? :S
jimthompson5910 (jim_thompson5910):
what can you factor out of 6a^2+8a
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OpenStudy (anonymous):
a 2??
jimthompson5910 (jim_thompson5910):
close, more like 2a
jimthompson5910 (jim_thompson5910):
6a^2+8a = 2a(3a + 4)
OpenStudy (anonymous):
(3a-4)(a+1)
a=4/3 or a=-1
jimthompson5910 (jim_thompson5910):
now, is it possible to write (-3a-4) in the form k(3a+4) ?
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OpenStudy (anonymous):
i dont know.... you tell me?There are no k's so y wud u add one??? :s
jimthompson5910 (jim_thompson5910):
k can be any number or expression, think of it as a variable
OpenStudy (anonymous):
ohh ok
jimthompson5910 (jim_thompson5910):
ok let me ask this
is it possible to factor (-3a-4) to get (3a+4) times SOMETHING where that SOMETHING is an expression or number ??
OpenStudy (anonymous):
huh???
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jimthompson5910 (jim_thompson5910):
is it possible to turn (-3a-4) into (3a+4) ?
OpenStudy (campbell_st):
here is a really simple method for any difficult factorisation
if the quadratic is Your question
ax^2 + bx + c = 0 6a^2 + 5a - 4 = 0
1. multiply a and c 6 x -4 = -24
2. Find the factors of a*c that add to b factors -3 + 8 = 5
next step up a fraction with a as the denominator
the numerator is in the form (ax + factor 1)(ax + factor 2)
for your question
|dw:1351990505786:dw|
this meothod works everytime... you don't need to split the middle term...