Algebra II

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Algebra II

• 4.5 Solve quadratic equations by finding the
  square root.
• HW p.269 (4-18 even)
• Test 4.5, 4.6, 4.8 Thursday 1/31
• Friday and Monday Midterm review

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Product and Quotient Property

• Product Property
• Quotient Property

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Examples of the Product Quotient Property

• Simplify the following

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Examples of the Product Quotient Property

• Simplify the following

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Rationalizing the Denominator

• Never end with a radical in the denominator of a
  fraction.
• ? You must rationalize the denominator.

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Examples of Rationalizing a Denominator
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Examples of Rationalizing a Denominator
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Conjugates

• The conjugate of
• We can use conjugates to simplify
• expressions (by rationalizing the
• denominator) like
• Multiply the numerator and denominator by the
  conjugate of the denominator.

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Simplify by rationalizing the denominator
1.)
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Simplify by rationalizing the denominator
2.)
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Algebra II

• 4.5 Solve quadratic equations by finding the
  square root.
• HW p.269 (22-32 even)
• Test 4.5, 4.6, 4.8 Thursday 1/31
• Friday and Monday Midterm review

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Solving Quadratic Equations

• Solve
• (Take square root of both sides)

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Solving Quadratic Equations

• Solve
• 1.) 2.)

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Solving Quadratic Equations

• Solve
• 3.) 4.)

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Solving Quadratic Equations

• Solve
• 5.) 6.)

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Algebra II

• 4.6 Imaginary Numbers

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Imaginary Numbers
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• Therefore

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• Simplify
• 1.)
• 2.)
• 3.)

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Complex Numbers in Standard Form

• Standard Form
• Write the expression as a complex number in
  standard form.
• (Practice B evens)
• 1.)
• 2.)
• 3.)

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Algebra II

• Finish 4.6 Imaginary Numbers
• Project due Wednesday 1/30
• Test 4.5, 4.6, 4.8 Thursday 1/31

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Simplify (Practice B evens)

• 1.)
• 2.)

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Simplify (Practice B evens)

• 3.)
• 4.)

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Practice B (evens) Write the expression as a
complex number in standard form.
1.)
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Practice B (evens) Write the expression as a
complex number in standard form.
2.)
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Practice B (evens) Write the expression as a
complex number in standard form.
3.)
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Solve the equation

• 1.) 2.)

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Solve the equation

• 3.)