Master how to find all of the zeros of a polynomial when given one irrational zero

What is the first step in using synthetic division when given a zero of a polynomial?

• Place the zero outside the synthetic division box

• Multiply the zero by the polynomial

• Add the zero to the polynomial

• Divide the polynomial by the zero

When multiplying radicals, what must be true for the numbers inside the radicands?

• They must be positive

• They must be under a radical

• They must be equal

• They must be integers

What is the result of multiplying negative square root of three by itself?

• Negative square root of nine

• Negative three

• Positive three

• Zero

Why is it beneficial to use the conjugate of an irrational zero in polynomial division?

• It reduces the degree of the polynomial

• It simplifies the polynomial

• It helps find additional real zeros

• It eliminates imaginary numbers

What is the factor obtained when multiplying X + sqrt 3 and X - sqrt 3?

• X^2 + 6

• X^2 + 3

• X^2 - 3

• X^2 - 6

What is the advantage of rewriting zeros as factors and multiplying them?

• It eliminates the need for division

• It increases the degree of the polynomial

• It results in a factor with real coefficients

• It creates a polynomial with imaginary coefficients

What method can be used to divide a polynomial by a factor with real coefficients?

• Long division

• Completing the square

• Factoring by grouping

• Synthetic division