Unit 2 · Class 10 IB MYP · Formula Sheet
Advanced Algebra Formulas — Class 10 IB MYP
Solve quadratic equations, work with rational expressions, and explore polynomial functions.
Key Formulas
Quadratic Formula
x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
Discriminant
\Delta = b^2 - 4ac
Sum of Roots
\alpha + \beta = -\dfrac{b}{a}
Product of Roots
\alpha\beta = \dfrac{c}{a}
Remainder Theorem
\text{Remainder of } p(x) \div (x-a) = p(a)
Factor Theorem
p(a) = 0 \implies (x-a) \text{ is a factor}
Worked Examples
1Using: Application
Apply the key formula from this topic to a sample problem.
Step 1: Identify the formula.
Step 2: Substitute the values.
Step 3: Simplify to get the answer.
Answer: See solution above
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