Exploring Complex Numbers in Mathematics
Delve into the world of complex numbers through solving quadratic equations with real coefficients that have complex solutions, extending polynomial identities to include factoring with complex numbers, rewriting expressions, and understanding imaginary numbers. Discover the process of finding complex conjugates and learn techniques such as squaring, completing the square, and using the quadratic formula to tackle complex mathematical problems. Let's enhance our understanding of complex numbers and their applications in algebra.
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Presentation Transcript
Complex numbers Miss. Jenkins
MGSE9-12.N.CN.7 Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula. Standards MGSE9-12.N.CN.8 Extend polynomial identities to include factoring with complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x 2i).
I can extend polynomials identity. I can I can rewrite expressions using complex numbers
Step 1 Foil Multiply the complex number and it s complex conjugate Replace i squared with negative 1 Solve and you show have your answer