Given a Factor Find the Remaining Factors With Quadratic Formula

The video tutorial explains how to perform synthetic division using X + 2 as a factor. The instructor demonstrates the process step-by-step, highlighting the importance of coefficients and the remainder. After completing the division, the focus shifts to finding the remaining factors of the polynomial. The quadratic formula is used to find the zeros, which are then converted into linear factors. The tutorial emphasizes understanding the relationship between zeros and factors, providing a comprehensive guide to polynomial factorization.

What is the first step in setting up synthetic division for the factor X + 2?

• Multiply all coefficients by 2

• Divide all coefficients by 2

• Add 2 to all coefficients

• Set X + 2 = 0 and solve for X

What is the remainder when performing synthetic division with the factor X + 2?

• -1

• 0

• 2

• 1

Why does the teacher decide to use the quadratic formula for the expression X^2 - 3X - 1?

• The expression is already factored

• The expression cannot be factored easily

• The expression has no real roots

• The expression is a perfect square

What are the zeros of the quadratic expression X^2 - 3X - 1 using the quadratic formula?

• 3 ± sqrt(13) / 2

• 3 ± sqrt(5) / 2

• 3 ± sqrt(17) / 2

• 3 ± sqrt(9) / 2

How are the zeros of a quadratic expression used to find its factors?

• By setting them equal to zero and solving for X

• By dividing the expression by the zeros

• By adding them to the expression

• By multiplying them with the expression