Write a Polynomial Function from its Zeros

Practice Questions

Algebra II › Write a Polynomial Function from its Zeros

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1

Which of the following equations represents a quadratic equation with zeros at x = 3 and x = -6, and that passes through point (2, -24)?

2

Which of the following represents a quadratic with zeros at 5 and 2 and that passes through point (1, 16)?

3

Consider the equation .

According to the Rational Zeroes Theorem, if are all integers, then, regardless of their values, which of the following cannot be a solution to the equation?

4

What is the degree of the polynomial?

5

Create a cubic function that has roots at .

6

Which of the following represents a quadratic equation with its zeros at and ?

7

Which of the following equations belongs to a quadratic with zeros at x = 2 and x = 7?

8

Which of the following equations represents a quadratic with zeros at and and that passes through point ?

9

Which of the following equations represents a quadratic equations with zeros at and , and that passes through point ?

10

Find a polynomial function of the lowest order possible such that two of the roots of the function are:

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