Question

Select one of the factors of the quadratic expression.

x2 + 5x - 14


A)
(x + 14)


B)
(x + 2)


C)
(x + 7)


D)
(x - 3)

Answer 1

The answer to your question is letter C (x + 7)

Explanation:

Expression

x² + 5x - 14

Factor the expression

- Find two number that multiplied give -14 and that added give 5

- Find the prime factors of -14

-14 2

- 7 7

-1

-From the prime factors, we notice that these numbers are + 7 and -2

- x² + 7x - 2x - 14

- Factor the expression

(x + 7)(x - 2)