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sergeinik [125]
2 years ago
9

3x^2+5x+2 help me solve this

Mathematics
1 answer:
katovenus [111]2 years ago
6 0

Answer:

  (3x +2)(x +1)

Step-by-step explanation:

A number of different ways are suggested for doing this. One that seems straightforward is this.

For ax^2 +bx +c, look for factors of ac that total b. Here we have ...

  ac = 3·2 = 6

  b = 5

It is easy to see that the factors we just multiplied to get 6 are ones that total 5: 3+2 = 5.

Now, rewrite the "bx" term using this sum.

  3x^2 +3x +2x +2

Factor each pair of terms.

  3x(x +1) +2(x +1)

And factor out the common factor:

  (3x +2)(x +1)

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