Polynomials (Grade 12 NSC Matric Mathematics): Flashcards

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Univariate expression

Expression with only one variable

Root or zero of equation

Value of xx where f(x)=0f(x) = 0

Monomial

Polynomial with exactly one term

Binomial

Polynomial with exactly two terms

Trinomial

Polynomial with exactly three terms

Degree of polynomial

Value of highest exponent in the polynomial

Quadratic formula

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Discriminant in quadratic formula

b2−4acb^2 - 4ac

Remainder theorem for p(x)÷(cx−d)p(x) \div (cx - d)

Remainder equals p(d/c)p(d/c)

Factor theorem condition

If p(d/c)=0p(d/c) = 0, then cx−dcx - d is a factor of p(x)p(x)

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