Given an Complex Factor, Find the Remaining Zeros

The video tutorial covers the concept of conjugates in polynomials, explaining how they relate to factors. It demonstrates the difference of squares and applies long division to polynomials. The tutorial concludes with finding zeros using the quadratic formula, highlighting that all zeros in this example are imaginary.

What is the conjugate of X - i sqrt 3?

• X - sqrt 3

• X + sqrt 3

• X - i sqrt 3

• X + i sqrt 3

Which method is used to divide a polynomial by a non-linear factor?

• Completing the Square

• Long Division

• Synthetic Division

• Factorization

In polynomial long division, what is the first step?

• Add the divisor to the dividend

• Subtract the divisor from the dividend

• Multiply the divisor by the dividend

• Divide the leading term of the dividend by the leading term of the divisor

What formula is used to find zeros when a polynomial is non-factorable?

• Quadratic Formula

• Linear Formula

• Cubic Formula

• Exponential Formula

How many imaginary zeros does the polynomial in the video have?

• 2

• 3

• 4

• 5