Factoring Polynomial Functions Quiz

What is the degree of the polynomial discussed in the video?

• 3

• 2

• 4

• 5

What is the first step in factoring a polynomial?

• Using decomposition

• Performing long division

• Taking out a common factor

• Using the factor theorem

What common factor is taken out from the polynomial in the video?

• 3x

• 2x

• 2

• x

What does the factor theorem help determine?

• The degree of the polynomial

• The remainder of the polynomial

• If a divisor is a factor

• The sum of the polynomial's coefficients

What is the remainder when a factor is correctly identified using the factor theorem?

• 1

• 2

• 3

• 0

Which value is first substituted to check for a factor using the factor theorem?

• -1

• 0

• 2

• 1

What method is used to divide the polynomial after identifying a factor?

• Partial fraction decomposition

• Long division

• Short division

• Synthetic division

What is the next step after obtaining the quotient from polynomial division?

• Check for more common factors

• Use the factor theorem again

• Factor the resulting quadratic

• Add the factors together

What method is used to factor the quadratic in the video?

• Quadratic formula

• Decomposition

• Graphing

• Completing the square

What is the final form of the polynomial after complete factoring?

• 2x(x-1)(2x+1)(x+2)

• 2x(x-1)(2x+2)(x+1)

• 2x(x-1)(x+2)(x+1)

• 2x(x-1)(2x+1)(x+1)