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3.4 Polynomials • 63Table 3.1 Commands for Finding Polynomial CoefficientsCommand Descriptioncoeff extract coefficientlcoeff find the leading coefficienttcoeff find the trailing coefficientcoeffs return a sequence of all the coefficientsdegree determine the (highest) degree of the polynomialldegree determine the lowest degree of the polynomial> factor(poly1);x (x − 2) (x − 3) (x + 2) (x + 1) 2> poly2 := (x + 3);poly2 := x + 3> poly3 := expand(poly2^6);poly3 :=x 6 + 18 x 5 + 135 x 4 + 540 x 3 + 1215 x 2 + 1458 x + 729> factor(poly3);(x + 3) 6> solve({poly3=0}, {x});{x = −3}, {x = −3}, {x = −3}, {x = −3}, {x = −3}, {x = −3}> factor(x^3 + y^3);(x + y) (x 2 − x y + y 2 )Maple factors the polynomial over the ring implied by the coefficients(integers, rationals, etcetera). The factor command also allows you tospecify an algebraic number field over which to factor the polynomial. For

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