Unit 9: Radicals and Rational Exponents

Master radicals, rational exponents, and polynomial factoring with engaging practice problems.

Some of these divide to be factors and some do not. Sort them into factors vs non-factors. It is not a drag and drop. Hover over the problem and it will have you sort it that way. Factors 5x^4+16x^3-15x^2+8x+16 / (x+4) 3x^4+5x^3+x^2+5x-2 / (x+2) x^4-x^3+4x^2-4x / (x^2+4) Non factors 2x^4+3x^2-5x+7 / (x-1) x^2+4x+9 (x-4) 2x^4-3x^3-6x^2+9x / (2x-4) Factoring Type in the factors of the polynomial given. When you enter, no spaces or it will grade it wrong use "^" to denote squared. If it doesn't factor write "not factorable" 4x^2 + 28x +49 (2x-7)^2 x^2 + 25 not factorable 10x^3 + 10x^2 +3x +3 (10y^2+3)(y+1) x^3 - 64y^3 (x-4y)(x^2+4xy+16y^2) x^4 - 3x^2 - 4 (x+2)(x-2)(x^2+1) 8x^3 + 10x^2 - 12x 2x(x+2)(4x-3) An open-topped box is made by cutting square corners from a 22 x 30 foot sheet of metal, then folding up the sides. Write an equation to represent the volume of the box. Use graphing calculator technology to find the maximum volume of the box, then find the dimensions of the box. Write answers to the nearest hundredth. The equation in factored form for the volume of the box would be V=x(22-2x)(30-2x). The maximum volume would be 1233.81 cubic feet. The dimensions of the box are height of 4.18 ft, length of 21.64 ft and width of 13.64 ft.