Question

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

Answer 1

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

Answer 2

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

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)