To find the integer values of x that satisfy the polynomial equation x^3 + 3x^2 - 6x - 18 = 0, we can use the Rational Root Theorem. This theorem states that any rational root, p/q, of the polynomial must have p as a factor of the constant term (-18 in this case) and q as a factor of the leading coefficient (1 in this case).

The factors of -18 are ±1, ±2, ±3, ±6, ±9, ±18. Since the leading coefficient is 1, the possible rational roots are the same as the factors of -18.

We can test these possible roots by substitifying them into the equation and checking if the equation holds true.

After testing, we find that the integer values of x that satisfy the equation are x = -3, x = 2, and x = 3.

Question

To find the integer values of x that satisfy the polynomial equation x^3 + 3x^2 - 6x - 18 = 0, we can use the Rational Root Theorem. This theorem states that any rational root, p/q, of the polynomial must have p as a factor of the constant term (-18 in this case) and q as a factor of the leading coefficient (1 in this case).

The factors of -18 are ±1, ±2, ±3, ±6, ±9, ±18. Since the leading coefficient is 1, the possible rational roots are the same as the factors of -18.

We can test these possible roots by substitifying them into the equation and checking if the equation holds true.

After testing, we find that the integer values of x that satisfy the equation are x = -3, x = 2, and x = 3.

Knowee AI · Accepted Answer

To find the integer values of x that satisfy the polynomial equation x^3 + 3x^2 - 6x - 18 = 0, we can use the Rational Root Theorem. This theorem states that any rational root, p/q, of the polynomial must have p as a factor of the constant term (-18 in this case) and q as a factor of the leading coefficient (1 in this case).

The factors of -18 are ±1, ±2, ±3, ±6, ±9, ±18. Since the leading coefficient is 1, the possible rational roots are the same as the factors of -18.

We can test these possible roots by substitifying them into the equation and checking if the equation holds true.

After testing, we find that the integer values of x that satisfy the equation are x = -3, x = 2, and x = 3.

Find out all integer values of x that satisfy the following polynomial equation:x3 + 3x2- 6x - 18 = 0

Question

Find out all integer values of x that satisfy the following polynomial equation:

Solution

Similar Questions

Upgrade your grade with Knowee