Factor Theorem and Function Analysis

The video tutorial explains the application of the factor theorem to determine unknown values in a function. It begins by introducing the factor theorem, which states that if a polynomial has a factor, the output is zero when the factor's zero is plugged into the function. The tutorial then demonstrates solving for the constant C by setting the function equal to zero and using a specific x value. Finally, it shows how to find the value of P by substituting another x value and simplifying the equation.

What is the initial factor identified in the problem?

• X - 1

• X - 2

• X + 1

• X + 2

According to the Factor Theorem, what should be the output when a zero is plugged into the function?

• 0

• -1

• 2

• 1

What theorem is primarily used in this problem?

• Pythagorean Theorem

• Factor Theorem

• Remainder Theorem

• Binomial Theorem

What is the first step in applying the Factor Theorem to solve for x?

• Divide the factor by 2

• Set the factor equal to zero

• Add 2 to the factor

• Multiply the factor by 2

What is the result when the factor is plugged into the function?

• The output is 1

• The output is 2

• The output is 0

• The output is -1

What value of x is used to determine the C value?

• 2

• -1

• -2

• 1

What is the C value obtained after solving the equation?

• 5

• 4

• 6

• 7

What mathematical operation is performed to find the C value?

• Subtraction

• Setting equal to zero

• Multiplication

• Addition

What is the next step after finding the C value?

• Solve for y

• Change the factor

• Recalculate the C value

• Find another x value

What x value is used to solve for P?

• 2

• 1

• -1

• 0