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3 Cards in this Set
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Math Final
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Add/sub poly: -complex numbers
+-=add like terms. complex: (3+5i)+(4-7i)=real=7 imaginary= 2i==7-2i polynomial: (3x⁵+2x⁴+5x+5)(13x⁵-2x³+7x+12)=16x⁵+2x⁴-2x³+12x+17 ------------------------------------------------------ Power of i, count up by 4's or divide and then count backwards. i⁷⁵.answer= -i (i³). ------------------------------------------------------ Multiplying: " distribute and add" (3+5i) x (7-3i) multiply the "3" to the 7 and 3i 21-9i+35i-15i² than do the same with the "3i" 21-9i+35i-15(-1) so add 15 = 36+26i Polynomials: (3x²+2)(4x²+3x+5) Mult 3x² to other side 12x⁴+9x+15x²+8x²+6x+10 then do the same w/ 5i 8x²+6x+10=Answer: 12x+9x³+23x²+6x+10 ------------------------------------------------------ Dividing Complex Numbers ex1; 3+5i/6i (divide by i/i) = 3i+5i²/6i² (i² cancels out and whole numbers become negative.= 3i-5/-6=-5+3i/ -6=5/6-1/2i Ex2; 7+2i(5+4i)/5-4i(5+4i) Distribute outside numbers 7 and2 to 5 and 4i) than do bottom 5 to 5 and 4 and 4 to |
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Math FInal
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Add/sub poly: -complex numbers
+-=add like terms. complex: (3+5i)+(4-7i)=real=7 imaginary= 2i==7-2i polynomial: (3x⁵+2x⁴+5x+5)(13x⁵-2x³+7x+12)=16x⁵+2x⁴-2x³+12x+17 ------------------------------------------------------ Power of i, count up by 4's or divide and then count backwards. i⁷⁵.answer= -i (i³). ------------------------------------------------------ Multiplying: " distribute and add" (3+5i) x (7-3i) multiply the "3" to the 7 and 3i 21-9i+35i-15i² than do the same with the "3i" 21-9i+35i-15(-1) so add 15 = 36+26i Polynomials: (3x²+2)(4x²+3x+5) Mult 3x² to other side 12x⁴+9x+15x²+8x²+6x+10 then do the same w/ 5i 8x²+6x+10=Answer: 12x+9x³+23x²+6x+10 ------------------------------------------------------ Dividing Complex Numbers ex1; 3+5i/6i (divide by i/i) = 3i+5i²/6i² (i² cancels out and whole numbers become negative.= 3i-5/-6=-5+3i/ -6=5/6-1/2i Ex2; 7+2i(5+4i)/5-4i(5+4i) Distribute outside numbers 7 and2 to 5 and 4i) than do bottom 5 to 5 and 4 and 4 to |
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Math Final
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Add/sub poly: -complex numbers
+-=add like terms. complex: (3+5i)+(4-7i)=real=7 imaginary= 2i==7-2i polynomial: (3x⁵+2x⁴+5x+5)(13x⁵-2x³+7x+12)=16x⁵+2x⁴-2x³+12x+17 ------------------------------------------------------ Power of i, count up by 4's or divide and then count backwards. i⁷⁵.answer= -i (i³). ------------------------------------------------------ Multiplying: " distribute and add" (3+5i) x (7-3i) multiply the "3" to the 7 and 3i 21-9i+35i-15i² than do the same with the "3i" 21-9i+35i-15(-1) so add 15 = 36+26i Polynomials: (3x²+2)(4x²+3x+5) Mult 3x² to other side 12x⁴+9x+15x²+8x²+6x+10 then do the same w/ 5i 8x²+6x+10=Answer: 12x+9x³+23x²+6x+10 ------------------------------------------------------ Dividing Complex Numbers ex1; 3+5i/6i (divide by i/i) = 3i+5i²/6i² (i² cancels out and whole numbers become negative.= 3i-5/-6=-5+3i/ -6=5/6-1/2i Ex2; 7+2i(5+4i)/5-4i(5+4i) Distribute outside numbers 7 and2 to 5 and 4i) than do bottom 5 to 5 and 4 and 4 to |
