Unit 2 · Class 9 IB MYP · Formula Sheet
Quadratic Expressions Formulas — Class 9 IB MYP
Expand, factorize, and simplify quadratic expressions; complete the square.
Key Formulas
Expanding
(x + a)(x + b) = x^2 + (a+b)x + ab
Perfect Square
(a + b)^2 = a^2 + 2ab + b^2
Difference of Squares
a^2 - b^2 = (a+b)(a-b)
Completing the Square
x^2 + bx = \left(x + \dfrac{b}{2}\right)^2 - \dfrac{b^2}{4}
Quadratic Formula
x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
Discriminant
\Delta = b^2 - 4ac
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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