Question

What is known about a quadratic equation if one solution is 8, and how can you determine if a quadratic equation could have this solution?

Options:
a. The expression x8 must be a factor. To know this, divide both sides by 8 and solve for x to check if the solution is 0, or factor the equation to see if x8 is a factor.
b. The expression x8 must be a factor. To know this, substitute 8 into the quadratic equation and see if it checksor factor the equation to see if x8 is a factor.
c. The expression x8 must be a factor. To know this, substitute 8 into the quadratic equation and see if it checks, or factor the equation to see if x8 is a factor.
d. The expression x8 must be a factor. To know this, divide both sides by 8 and solve for x to check if the solution is 0, or factor the equation to see if x8 is a factor.

Answer 1

To determine if a quadratic equation could have a solution of 8, substitute 8 into the equation and check if it satisfies the equation.

Step-by-step explanation:

To determine if a quadratic equation could have a solution of 8, you can substitute 8 into the quadratic equation and check if it satisfies the equation. In other words, substitute x = 8 into the quadratic equation and see if the equation holds true. If it does, then 8 is a solution of the quadratic equation.

For example, if the quadratic equation is x² + bx + c = 0, you would substitute 8 for x and check if the equation holds true. If it does, then 8 is a solution of the quadratic equation.

If the equation does not hold true when substituting 8, then 8 is not a solution of the quadratic equation.