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(y − z y) x 2 + (y + z y + 1 + z) x3.4 Polynomials • 61> collect(big_poly, z);(x y − y x 2 + x) z + x y + y x 2 + xMathematical OperationsYou can perform many mathematical operations on polynomials. Amongthe most fundamental is division, that is, to divide one polynomial intoanother and determine the quotient and remainder. Maple provides thecommands rem and quo to find the remainder and quotient of a polynomialdivision.> r := rem(x^3+x+1, x^2+x+1, x);r := 2 + x> q := quo(x^3+x+1, x^2+x+1, x);q := x − 1> collect( (x^2+x+1) * q + r, x );x 3 + x + 1On the other hand, sometimes it is sufficient to know whether onepolynomial divides into another polynomial exactly. The divide commandtests for exact polynomial division.> divide(x^3 - y^3, x - y);true> rem(x^3 - y^3, x - y, x);0You evaluate polynomials at values as you would with any expression,by using eval.