How to find the real root of a cubic function

How to find the real root of a cubic function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains solving equations by setting them to zero and using inverse operations. It emphasizes factoring for polynomials with multiple variables and demonstrates solving equations with a single variable using inverse operations, including cube roots. The tutorial concludes by identifying real and complex solutions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is factoring emphasized when solving polynomials with multiple variables?

It is the only method to solve polynomials.

It simplifies the equation to a single variable.

It helps in identifying the degree of the polynomial.

It allows for easier identification of solutions.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary reason for using inverse operations in this example?

There is only one variable in the equation.

The equation is already factored.

The equation has multiple variables.

Inverse operations are faster than factoring.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation using inverse operations?

Undo addition and subtraction.

Undo multiplication and division.

Take the cube root.

Factor the equation.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to solve for the variable after undoing addition and subtraction?

Multiplication

Division

Cubing

Factoring

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the real solution for the equation after solving?

X = 1

X = -1

X = -3

X = 3