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Algebra Graph y=2x^24x3 y = 2x2 4x − 3 y = 2 x 2 4 x 3 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for 2 x 2 4 x − 3 2 x 2 4 x 3Has degree 3 in x and degree 2 in y Degree function in abstract algebra Given a ring R, the polynomial ring Rx is the set of all polynomials in x that have coefficients in R In the special case that R is also a field, the polynomial ring Rx is a principal ideal domain and, more importantly to our discussion here, a Euclidean domainDividing by − 4 undoes the multiplication by − 4 x=\frac {y4x_ {2}x_ {3}} {4} x = − 4 y 4 x 2 x 3 Divide yx_ {3}4x_ {2} by 4 Divide y x 3 4 x 2 by − 4 x=\frac {y} {4}\frac {x_ {3}} {4}x_ {2} x = − 4 y − 4 x 3 − x 2 Solve for x_2 x_ {2}=\frac {y} {4}\frac {x_ {3}} {4}x C2 St Lecture 3 Handout Y x 2 - 4x + 3