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Solve by factoring: 3x^2 + 2x  1 = 0
{1, 2/3}
{1, 2/3}
{1, 1/3}
{1, 1/3}
 one year ago
 one year ago
Solve by factoring: 3x^2 + 2x  1 = 0 {1, 2/3} {1, 2/3} {1, 1/3} {1, 1/3}
 one year ago
 one year ago

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EmmaHBest ResponseYou've already chosen the best response.0
please explain how i find this
 one year ago

JamesJBest ResponseYou've already chosen the best response.0
well, dividing first by 3, we have \[ x^2 + \frac{2}{3}x  \frac{1}{3} = 0 \] Now, you want factors of 1/3 that add up to 2/3
 one year ago

HeroBest ResponseYou've already chosen the best response.1
@EmmaH, the steps for solving this are the same as what I showed you in the previous problem.
 one year ago

HeroBest ResponseYou've already chosen the best response.1
I'll even give you a hint, but you have to solve the rest yourself: Given: \(3x^2 + 2x  1\) Split the middle term: \(3x^2 + 3x  1x  1\) Now factor by grouping
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Okay, now what's the next step?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Do you know how to factor \(3x^2 + 3x\) ?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Yes, or simply 3x(x + 1) Writing 1 before the x is not necessary. Now factor (1x  1). Let me know what you get.
 one year ago

JamesJBest ResponseYou've already chosen the best response.0
Well, you have a factor of (x+1) above where you wrote 3x(x+1) Can you get a factor of (x+1) out of (1x  1) ?
 one year ago
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