Writing the equation of the polynomial with imaginary zeros

Writing the equation of the polynomial with imaginary zeros

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of writing linear factorization using given zeros, including handling multiplicities and imaginary numbers. It explains how to use inverse operations to find factors and demonstrates multiplication involving imaginary numbers. The tutorial concludes with combining like terms in polynomial expressions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in writing zeros as linear factors?

Divide each zero by two

Add all zeros

Multiply all zeros together

Set each zero equal to zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying binomials with imaginary numbers, what pattern is often used?

Sum of cubes

Sum of squares

Difference of squares

Product of sums

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying two imaginary numbers, i and i?

1

-1

i^2

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to expand and simplify polynomial expressions?

FOIL method

Chain rule

Integration by parts

Partial fraction decomposition

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step after multiplying polynomials?

Factor the expression

Add a constant term

Divide by the highest degree term

Combine like terms