Algebra factoring help: what expression is equivalent to: -2x2 - 7x +4

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tathagata7

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Hi, I'm working on a practice SSAT exam and have the below question that I need help in how to derive the answer.

Thank you!



What expression is equivalent to: -2x2 - 7x +4

Answer: -(2x - 1)(x + 4)
 
tathagata7 said:
Hi, I'm working on a practice SSAT exam and have the below question that I need help in how to derive the answer.

Thank you!



What expression is equivalent to: -2x2 - 7x +4

Answer: -(2x - 1)(x + 4)
Click to expand...

I assume the expression given to you is:

-2x2 - 7x + 4

Which of the following methods have you been taught:


  1. a-c factorization
  2. Completing squares
  3. Quadratic formula
 
I only know learned a bit about factoring.

I'm not sure how to get the 7x from the answer:

-(2x - 1)(x + 4)
 
tathagata7 said:
Hi, I'm working on a practice SSAT exam and have the below question that I need help in how to derive the answer.

Thank you!



What expression is equivalent to: -2x2 - 7x +4

Answer: -(2x - 1)(x + 4)
Click to expand...

Hint:

-2 * 4 = -8 = -8 * 1

-8 + 1 = -7
 
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