Given three integer zeros write the polynomial function

Given three integer zeros write the polynomial function

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to determine a polynomial given its zeros. It starts by discussing the concept of zeros and their significance in polynomials. The instructor then demonstrates how to set up a polynomial using these zeros, employing the zero product property. The tutorial further explores factoring and the use of the zero product property to define zeros. Finally, it covers the multiplication of binomials, specifically focusing on the difference of squares, to find the polynomial function.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a zero of a polynomial represent in terms of its graph?

A point where the graph touches the y-axis

A point where the graph crosses or touches the x-axis

A point where the graph is at its maximum

A point where the graph is at its minimum

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express the zero of a polynomial as an equation?

X = 0

X = 1

X = -1

X = 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using the zero product property in polynomial equations?

To determine the zeros of the polynomial

To find the maximum value of the polynomial

To find the minimum value of the polynomial

To simplify the polynomial

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying two binomials that are a difference of squares?

A quadratic equation

A cubic equation

A linear equation

A constant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final polynomial function derived from the zeros 0, -1, and 1?

X^3 + X

X^2 + 1

X^3 - X

X^2 - X