How to write polynomial with a LC of two

The video tutorial explains how to find a polynomial when given its zeros. It starts by setting the zeros equal to X and finding the factors. The factors are then multiplied to form a polynomial. The tutorial also covers adjusting the leading coefficient by using scalar multiplication, ensuring the polynomial is correctly formed without changing its zeros.

What is the first step in constructing a polynomial when given its zeros?

• Set the zeros equal to X

• Multiply the zeros together

• Divide the zeros by X

• Add the zeros

Why is it advised to avoid using fractions when finding factors from zeros?

• Fractions are not allowed in polynomials

• Fractions make calculations simpler

• Fractions are more accurate

• Fractions can complicate multiplication

Which method can be used to expand binomials when forming a polynomial?

• Integration method

• FOIL method

• Subtraction method

• Division method

What happens to a polynomial when it is multiplied by a scalar?

• The zeros change

• The polynomial is destroyed

• The polynomial becomes a constant

• The polynomial is stretched or compressed

How can you adjust the leading coefficient of a polynomial to a desired value?

• By dividing by a scalar

• By subtracting a constant

• By multiplying by a scalar

• By adding a constant