  • Matrices
• Algebra
• Geometry
• Funciones
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line Ecuación de una recta Equation of a line (from graph) Quadratic function Posición relativa de dos rectas Asymptotes Limits Distancias Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 Ecuación de una recta Posición relativa de dos rectas Distancias Angles in space Inner product

# Complete the square

With quadratic expression like x2 + bx, you can complete the square by adding

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

x2 + 8x +

x2 + 8x +

 = x2 + 8x + Plug in b=8 = x2 + 8x + Divide = x2 + 8x + 42 Square = x2 + 8x + 16

This quadratic can be written as a square, (x + 4)2, so it is a perfect-square quadratic.

The number needed to complete the square was 16.

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

z2-12z +