1.3 Multiply & Divide Complex Numbers

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Presentation transcript:

1.3 Multiply & Divide Complex Numbers

Remember Typo! See p. 12 First, remember = _____, so what would = _____ So… What is… _______ __________ Typo! See p. 12

Multiply 2 Complex Numbers BUT!!!! Bewaaaare of i2!!!! Distribute or… FOIL (just like w/ real numbers & variables) 1) 2) 3) 4) -1

Guided Practice #1-3, p. 11

Hey, did you know? Complex Conjugates a + bi and a – bi have names for each other… Ex: 5 + 3i and… ______ -2i and… ______ -4 – 2i and… ______ Complex Conjugates

Multiplying Complex Conjugates REAL ALWAYS RESULTS IN A ________ NUMBER. (5 + 3i) ( ) = -2i ( ) = (-4 – 2i)( ) =

Dividing Complex Numbers Just like radicals we can not have complex numbers in the denominator of a fraction. Remember, we can multiply any fraction by a factor of “1,” and it will not change the fraction. If a complex number or just an imaginary number is in the denominator we will multiply numerator and denominator by the complex conjugate DISTRIBUTE OR FOIL depending on what you have

Divide 2 Complex Numbers Write the expression as a complex number in standard form.

More Practice

Homework Pg. 13, 1 – 35 odds