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January 3rd, 2016, 06:54 PM   #1
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Product of Linear Factors

Problem:
Rewrite (4x^2+5x)^2 - 5(4x^2+5x) - 6 as a product of linear factors.

I have no idea where to start.

I tried using the substitution method to get (4x^2 + 5x - 6)(4x^2 + 5x + 1) and using the quadratic formula to get x = 3/4, -2, -1, and -1/4.

Last edited by skipjack; January 3rd, 2016 at 07:34 PM.
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January 3rd, 2016, 07:08 PM   #2
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That's a good approach. If you've got x = 3/4, then 4x - 3 = 0.

(4x - 3)(x + 2)(4x + 1)(x + 1) is equivalent to the original expression.
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Last edited by skipjack; January 3rd, 2016 at 07:29 PM.
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January 3rd, 2016, 07:16 PM   #3
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Quote:
Originally Posted by greg1313 View Post
That's a good approach. If you've got x = 3/4, then 4x - 3 = 0.

(4x - 3)(x + 2)(4x + 1)(x + 1) is equivalent to the original expression.
Thank you! It was the x = 3/4 that was messing with my answer.
I overlooked 4x - 3 = 0 and used x = 3/4 instead.

Last edited by skipjack; January 3rd, 2016 at 07:30 PM.
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