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Multiple Roots and Multiplicity

Mathematics · Class 11

Touch and turn: even multiplicity (school cubic can have a repeated factor). Cross: odd multiplicity. Sum of multiplicities = degree.

power on (x-c)
zero = root = x-intercept if real
multiplicity = power of the factor
count repeats
MULTIPLE ROOTS AND MULTIPLICITY: Touch and turn: even multiplicity (school cubic can have a repeated factor). Cross: odd multiplicity
MULTIPLICITY: Touch and turn: even multiplicity (school cubic can have a repeated factor).
WHAT — MULTIPLE ROOTS AND MULTIPLICITY: Touch and turn: even multiplicity (school cubic can have a repeated factor). Cross: odd multiplicity
WHY — Why it matters: This rule is a separate learning unit inside zeros and a cubic worked pattern. It can be defined, ap

Right triangle — Multiple Roots and Multiplicity — original sketch for this lesson (not copied from a textbook).