Question 197089: How do you find the equivalent factored form of a quadratic expression?
1. 2x^2+3x+1
2. 3x^2-x-4
3. x^2-9
4. n^2-4 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! find the equivalent factored form of a quadratic expression?
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You have to understand how FOIL generates a product of binomials.
Then you have to figure out how to reverse the process.
That is called the AC method of factoring.
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1. 2x^2+3x+1
2x^2 + 2x + x + 1
2x(x+1) + (x+1)
(x+1)(2x+1
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2. 3x^2-x-4
3x^2 -4x + 3x -4
x(3x-4) + 3x-4
(3x-4)(x+1)
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3. x^2-9
x^2 + 3x -3x -9
x(x+3)-3(x+3)
(x+3)(x-3)
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4. n^2-4
n^2 + 2n -2n -4
n(n+2)-2(n+2)
(n+2)(n-2)
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Cheers,
Stan H.
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