. Find the roots of the polynomial equation.

x2 + x undefined 72 = 0


(Points : 1)
9 and 8

6 and 6

2 and 16

9 and 8

To find the roots of a polynomial equation, you need to factorize the equation. In this case, we have:

x^2 + x - 72 = 0

To factorize the equation, we need to find two numbers whose product is -72 and whose sum is equal to the coefficient of x (which is 1). In this case, the numbers are 9 and -8, since 9 * (-8) = -72 and 9 + (-8) = 1.

Therefore, the factored equation is:

(x + 9)(x - 8) = 0

Now, we can set each factor equal to zero and solve for x:

x + 9 = 0, which gives x = -9
x - 8 = 0, which gives x = 8

So, the roots of the polynomial equation x^2 + x - 72 = 0 are -9 and 8.

However, none of the answer choices provided matches the correct roots of the equation.