Warm–up #6. Warm–up #6 Solutions Homework Log Thurs 9/24 Lesson 1 – 9 Learning Objective: To simplify radical expressions Hw: #114 Pg. 85 #1 – 71 odd.

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Presentation transcript:

Warm–up #6

Warm–up #6 Solutions

Homework Log Thurs 9/24 Lesson 1 – 9 Learning Objective: To simplify radical expressions Hw: #114 Pg. 85 #1 – 71 odd

Homework Log Fri 9/25 Lesson 1 – 9 Learning Objective: To find zeroes of polynomials Hw: #115 Pg. 86#73 – 77 odd, Pg. 56 #97, 101, Pg. 93 #85 – 153 eoo

9/24/15 Lesson 1 – 9 Complex Numbers Day 1 & 2 Advanced Math/Trig

Learning Objective To simplify complex numbers To perform operations on complex numbers

Complex Numbers Complex Number: Def of Equality: real part imaginary part

Simplify Careful! Right: Wrong!

Power of i R1 R2 R3 R0

Power of i

Adding & Subtracting 6. (2 – 3i) + (7 + i) = 9 – 2i 7. (3i) + (8 – 2i) = 8 + i 8. (9 – 5i) – (6 + 4i) = 9 – 5i – 6 – 4i = 3 – 9i 9. (–2 + i) – (–5i) = –2 + i + 5i = –2 + 6i

Multiplying

Multiplying Conjugates a + bi & a – bi

Dividing Put in standard form a + bi

9/25/15 Lesson 1 – 9 Complex Numbers Day 2 Advanced Math/Trig

Learning Objective To find zeroes of polynomials

Zero of Polynomial A ‘zero’ makes the poly = 0 Plug in –2i for z & see if makes P = 0

Zero of Polynomial

Negative Exponents in Rational Expression

Ticket Out the Door Show that z =1 – 2i is a zero of P = z 2 – 2z + 5. Explain what you did.

Homework #114 Pg – 71 odd

Homework #114 Pg – 77 odd Pg , 101 Pg – 153 eoo Pg. 86 #77 mistake in book: