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Semester 1 Mindmap - Coggle Diagram
Semester 1 Mindmap
Unit 2
Unit 2D
Fractional Exponents are a way of showing a root as an exponent
4^1/2 is a square root of 4, 4^1/3 is a cube root of 4
If the fraction has something greater then 1 in the spot of the numerator, take the numerator and apply it as a normal exponent, then take the denominator and apply it as a root
Steps for solving a radical: 1. Divide both sides if needed. 2. Square both sides. 3. Divide both sides. 4. Check for extraneous solutions
Steps for solving a radical using quadratics:
- Isolate the radical
- Square both sides
- Write in standard form
- Solve
- Check
Unit 2C
Factored equations describe zeros.
Standard form equations describe y-intercepts
Vertex form equations describe the vertex
Unit 1
Unit 1B
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If y is greater then 0, it is a vertical stretch
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If y is greater then 0, it is a horizontal compression
Unit 3
Unit 3A
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Polynomial Long Division: 1. Write dividend in standard form including terms with a coefficient of 0. 2. Write division the same as with normal numbers (e.g. 3x^2 with a divisor of (x-2) becomes 3x^3-6x^2). 3. a) Divide b) Multiply c) Subtract and bring down
Synthetic Division: List coefficients from dividend equation in descending order with 0 for missing terms. Find the x of the divisor by setting it equal to 0. End result should look something like "x^2+x+y+z/x-d" with y being a random number, z being the remainder, and d being the random number attached to the divisor
If the equation has less then 4 possible coefficients, the missing coefficient will be a zero. Ergo, x^3+x^2+1 will be "1 1 0 1"