. 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.