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The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor? A. 3x − 5 B. 3x + 5 C. 4x − 5 D. 4x + 5

2 Answers

5 votes

The polynomial's other factor would be 3x + 5, therefore, making it B. 3x + 5.

You can solve this equation by doing the following steps:

6x2 + x - 15 is your polynomial. So take your polynomial and factor it down.

6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x+5)(2x - 3).

Check your answers again.

A) 3x - 5

Would this be possible considering our last answer? Which was (3x + 5)(2x - 3). No, it's not adding, so it's wrong.

B) 3x + 5

Could this be possible? Yes, it could because it has the first half of our answer. (3x + 5), keep this in mind.

C) 4x - 5

There was no 4 in the last part, so no. It's wrong. We're working with 2, 3, and 5 only. No 4.

D) 4x + 5

Again, no 4. Make sure to double-check your answers before clicking.

The answer is B) 3x + 5.

Hope you found this helpful! Have a wonderful day and stay safe! (/O^O)/ *

User Supershabam
by
6.1k points
2 votes

Answer:

B: 3x+5

Explanation:

User Victoire
by
5.4k points