Question

Write a polynomial in standard form with the zeros -2, 1, and 2.

Hint: Remember a zero can be written as (x - a) where a is the zero. List the zeros then multiply them.

Answer 1

• x³ - x² - 4x + 4

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The polynomial has zeros - 2, 1 and 2.

It means it has factors:

• (x + 2), (x - 1) and (x + 2)

Multiply all factors together and convert to standard form:

• (x + 2)(x - 2)(x - 1) =
• (x² - 4)(x - 1) =
• x³ - x² - 4x + 4