polynomials

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5 Terms

1
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a polynomial

An expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication, with non-negative integer exponents.

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quadratic polynomial

A polynomial of degree 2. Its general form is ax^2 + bx + c, where a \ne 0.

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zeroes of a polynomial

Values of x for which the polynomial p(x) = 0. These are also known as roots of the polynomial.

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relationship between zeroes and coefficients

If \alpha and \beta are the zeroes of a quadratic polynomial ax^2 + bx + c, then:

  • Sum of zeroes: \alpha + \beta = -b/a

  • Product of zeroes: \alpha \beta = c/a

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Quadratic formula

X² - (sum)x + (product)