Find all the remaining zeros given a complex zero

The video tutorial covers the concept of conjugate pairs in polynomials, explaining how they relate to zeros and factors. It demonstrates factoring techniques and the multiplication and division of polynomials, including a detailed example of long division. The tutorial concludes with methods to find factors and zeros of polynomial functions.

What is the conjugate of the complex number X = 1 + i√2?

• X = -1 - i√2

• X = -1 + i√2

• X = 1 + i√2

• X = 1 - i√2

Which method can be used as a shortcut for multiplying complex conjugates?

• Box method

• Difference of squares

• Distributive property

• Quadratic formula

What is the result of squaring the imaginary unit 'i'?

• 1

• -1

• i

• 0

In polynomial long division, what is the first step after dividing the leading terms?

• Bring down the next term

• Subtract the rows

• Add the rows

• Multiply the divisor by the quotient

What is the purpose of polynomial long division in this context?

• To find the remainder

• To eliminate complex numbers

• To find another factor of the polynomial

• To simplify the polynomial

When factoring a quadratic expression, what should you consider if the leading coefficient is not 1?

• Ignore the coefficient

• Try to factor it directly

• Use the quadratic formula

• Multiply by the conjugate

What are the zeros of the polynomial 2X^2 - 3X + 1?

• 1 and -1

• 1/2 and 1

• 1/2 and 1/2

• 1 and 1/2