algebra

• Given x + y = 3 and xy = 3, Find x³ + y³
  Use the sum-and-product identity to find x³ + y³; note that x + y = 3 and xy = 3 have no real solutions, though the algebraic value is 0.
• How to Find Values of x Outside the Domain of h
  Find excluded x-values by checking denominators, even roots, logarithms, and restrictions in h; the formula for h is needed for a specific answer.
• How to Graph Functions Without a Calculator
  Graph a function by finding its domain, intercepts, symmetry, key points, turning points, and asymptotes, then sketching its overall behavior.
• Why Is a Missing Number Sometimes Treated as Zero?
  A missing number is zero only when a stated convention makes it so, such as an omitted polynomial coefficient or an absent entry in a sparse vector.
• How Do You Find the Square Root of a Negative Number?
  A negative real number has no real square root. In the complex numbers, its principal square root is i times the square root of its positive opposite.
• What Does the Height of an Algebraic Equation Mean?
  The height of an algebraic equation usually measures coefficient size, but algebraic-number height is a distinct invariant; here are both definitions.