Given 3 zeros one a fraction learn how to write the polynomial functions

Given 3 zeros one a fraction learn how to write the polynomial functions

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to determine a polynomial with integer coefficients given specific zeros, including a fractional zero. It covers setting zeros to zero, using the zero product property, and avoiding fractional coefficients by employing inverse operations. The tutorial demonstrates multiplying binomials using the box method to achieve a polynomial expression with integer coefficients.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge when one of the polynomial zeros is a fraction?

It makes the polynomial equation too complex.

It results in non-integer coefficients.

It cannot be solved using standard methods.

It requires additional zeros to balance.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to eliminate the fraction from the zero 1/3?

Multiplying by 3/1

Subtracting 1 from both sides

Dividing by 3

Adding 1/3 to both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to multiply the binomials in the final section?

Substitution method

Graphical method

Box method

FOIL method

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying X - 8 and X - 2 using the box method?

X^2 - 10X - 16

X^2 - 6X - 16

X^2 - 10X + 16

X^2 - 6X + 16

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final polynomial expression obtained after multiplying all the factors?

3X^3 - 30X^2 + 57X - 16

3X^3 - 31X^2 + 58X - 16

3X^3 - 30X^2 + 58X - 16

3X^3 - 31X^2 + 57X - 16