119k views
2 votes
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
9.2k points
2 votes

Answer:

B: 3x+5

Explanation:

User Victoire
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories