Advanced Math covers quadratics, exponents, polynomials, and functions — the nonlinear content. This is where 1500+ scores are decided, because the hardest module-2 questions cluster here.
Factored form tells you the zeros. If y = a(x − r₁)(x − r₂), the graph crosses the x-axis at r₁ and r₂. Reading zeros straight from factors saves huge time.
Must-know facts
- Function notation: f(3) means substitute 3 for every x. Don't overthink it.
- Exponent rules: xᵃ · xᵇ = xᵃ⁺ᵇ; (xᵃ)ᵇ = xᵃᵇ; x⁰ = 1.
- Vertex of a parabola y = ax² + bx + c is at x = −b/(2a); plug back in for the y-value (the min if a > 0, max if a < 0).
- Sum of the zeros of a quadratic = −b/a; product = c/a. Handy shortcuts.
Desmos tip: On the calculator section, you can graph any equation and read zeros, intersections, and vertices directly. Use it to check — but know the algebra for the no-calculator instincts it builds.