Finding the zeros of a function - Zeros of polynomial function

Finding the zeros of a function - Zeros of polynomial function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to find the zeros of a function by substituting zero into the function and factoring the equation. It demonstrates solving the equation to find the zeros, which are the values of X that make the function equal to zero. The tutorial concludes with the final calculation of the zeros, which are 0 and ±5/3.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the definition of the zeros of a function?

Points where the function is undefined

Points where the function equals zero

Points where the function is minimum

Points where the function is maximum

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't we directly solve for X in the given equation?

Because the equation has no solution

Because the equation is already solved

Because the equation involves both X to the 4th and X squared terms

Because the equation is linear

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the equation?

Multiplying both sides by X

Adding a constant to both sides

Dividing both sides by X squared

Factoring out X squared

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the possible values for X after solving the factored equation?

0, ± 3/2

0, ± 2/3

0, ± 3/5

0, ± 5/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to consider both positive and negative roots when taking the square root?

Because it makes the equation linear

Because it eliminates complex numbers

Because it simplifies the equation

Because it ensures all possible solutions are found