Question

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Select the correct answer from each drop-down menu. What is the factored form of this expression? 6x²2² +5X-6=( ) X ( )

Answers first blank box/
6x - 1 / 2x + 3 / 6x - 1 / 2x - 3

Answers second blank box/
3x - 2 / x + 6 / x + 6 / 3x + 2

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Answer 1

Answer:(2x + 3) (3x - 2)

Step-by-step explanation:

Answer 2

(2x + 3)(3x - 2)

Explanation:

6x² + 5x - 6

Factor form can be found by using the method of grouping.

First, we need to find two numbers that subtract up to 5 and multiply to 6 × 6 = 36.

These numbers are 9 and 4.

• 9 - 4 = 5
• 9 × 4 = 36

We can write (9-4) instead of 5. so

6x² + 5x - 6

6x² + (9-4)x - 6

6x² + 9x - 4x - 6

Now, we can factor out the common factors:

3x(2x + 3) - 2(2x + 3) [/tex]

Finally, we can factor out the common factor of (2x + 1) to get the final answer:(2x + 3)(3x - 2)

Therefore, the factored form of 6x² + 5x - 6 is (2x + 3)(3x - 2).