Select each binomial that is a factor of the following polynomial. 3x2-14x-24 Question 4 options:

x-4

x+4

x-6

x+6

3x-4

3x+4

The answer to your question is (x - 6) and (3x + 4)

Step-by-step explanation:

Polynomial

3x² - 14x - 24

Factor

1. - Multiply 3 x - 24 = - 72

2. - Find the prime factors of 72

72 2

36 2

18 2

9 3

3 3

1

72 = 2³3²

3. - Find to numbers that added gives - 14

These numbers are - 18 and + 4

4. - Write the polynomial in terms of - 18 and + 4

3x² - 18x + 4x - 24

5. - Factor by common factors

3x (x - 6) + 4 (x - 6)

(x - 6) (3x + 4)

6. - Conclusion, the factors of the polynomial are (x - 6) (3x + 4)

The answer to your question is x-6 and 3x+4