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The PROOT function
Given an array containing the coefficients of a polynomial, in decreasing order, the function PROOT provides the roots of the polynomial. Example,
from X2+5X+6 =0, PROOT([1,
The QUOT and REMAINDER functions
The functions QUOT and REMAINDER provide, respectively, the quotient Q(X) and the remainder R(X), resulting from dividing two polynomials, P1(X) and P2(X). In other words, they provide the values of Q(X) and R(X) from P1(X)/P2(X) = Q(X) + R(X)/P2(X). For example,
NOTE: you could get the latter result by using PARTFRAC:
The PEVAL function
The function PEVAL (Polynomial EVALuation) can be used to evaluate a polynomial
p(x) =
given an array of coefficients [an,
Additional applications of polynomial functions are presented in Chapter 5 in the calculator’s user’s guide.
Fractions
Fractions can be expanded and factored by using functions EXPAND and FACTOR, from the ALG menu (‚×). For example:
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