Algebra 76 - Completing the Square - part 2

Algebra 76 - Completing the Square - part 2

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Professor Von Schmohawk explains how to geometrically prove that quadratic expressions can be perfect squares, both for positive and negative bx terms. The video demonstrates solving quadratic equations using the completing the square method, including examples with negative and irrational coefficients. The lecture concludes with a preview of the quadratic formula.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the geometric representation of the quadratic expression x squared plus bx plus b over 2 squared?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the area of the square created from the sum of the areas represent in the context of quadratic expressions?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the proof change when the bx term is negative?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the quadratic expression x squared minus bx plus b over 2 squared be rewritten when b is negative?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of completing the square for the quadratic expression x squared minus 5x plus 3.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in moving the constant term to the right side of the equation when solving a quadratic?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the absolute value of an expression and the square root of that expression?

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