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natita [175]
3 years ago
12

Will mark brainliest!!

Mathematics
1 answer:
Delvig [45]3 years ago
6 0

Answer:

  • 2
  • 2x + 1

Step-by-step explanation:

It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...

  2(4x² -4x -3)

To factor this, you are looking for factors of (4)(-3) that have a sum of -4.

  -12 = 1(-12) = 2(-6) = 3(-4)

These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.

  = 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)

Of these, the factors that are on your list of choices are ...

  • 2
  • 2x + 1
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