Question

Which of the following is a factor of x² + x - 30?​

Answer 1

Answer:

Factor the expression:

x2 +x - 30 = (x+6)(x-5) = 0

(because 6 and -5 are factors of -30 that make 6x - 5x = x - second term)

The product of two terms is zero if both are equal to zero or one of them.

It gives you x+6 = 0 and x-5 = 0 or

x = -6 and x = 5

Check the answer by substituting these numbers back into the expression. Both satisfy.

x2 + x -30 = 0

This expression can be factored into

(x + 6)*(x - 5) = 0

which is true when x = -6 or x = 5.

Answer 2

Answer:

(x-5) and (x+6) are factors of above equations