Question

Factor the polynomial:
x^2 + 5x − 14 =
x^2 − 10x + 16 =

Answer 1

To factor the polynomial x^2 + 5x - 14, use the method of finding two numbers that multiply to give the constant term and add up to give the coefficient of x. For x^2 - 10x + 16, use the same method to find the two numbers.

Step-by-step explanation:

To factor the polynomial x^2 + 5x - 14, we look for two numbers that multiply to give the constant term (-14) and add up to give the coefficient of x (5). In this case, the numbers are 7 and -2. So we can rewrite the polynomial as (x + 7)(x - 2).

To factor the polynomial x^2 - 10x + 16, we look for two numbers that multiply to give the constant term (16) and add up to give the coefficient of x (-10). In this case, the numbers are -2 and -8. So we can rewrite the polynomial as (x - 2)(x - 8).

Answer 2

the first one is: (x-2)(x+7)

the second one is: (x-2)(x-8)

I had this question and got it right.