Description A boardwalk that is x feet wide is built around a rectangular pond. The pond is 30 f ...

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Description A boardwalk that is x feet wide is built around a rectangular pond. The pond is 30 feet wide and 40 feet long. The combined area of the pond and the boardwalk is 2000 square feet. What is the width of the boardwalk 5 feet 35 feet 10 feet 40 feet Find all solutions to the polynomial equation. x^4 + 6x^2 - 27 = 0 Find all solutions to the polynomial equation. 27x^3 + 1 = 0 Find all solutions to the polynomial equation. x^4 ­- 34x^2 + 225 = 0 x = 9, x = 25 x = 3, x = 5 x = 3, x = -­3, x = 5, x = ­-5 x = 1, x = -­1, x = 15, x = ­-15 Factor the polynomial. 3a^3 - 2a^2 ­- 5a + 9a^2b - 6ab - 15b (a + 3b)(3a + 1)(a + 5)(a ­- 5) (a + 3b)(3a ­- 5)(a + 1) (a + 3b)(3a + 1)(a -­ 5) (a + 3b)(3a ­- 5)(a + 1)(a ­- 1) Write the expression in quadratic form, if possible. a^8 + 10a^2 - 16 (a4)2 + 10(a2) - 16 (a2)2 + 10(a2) - 16 a2[(a2)2 + 10(a)] - 16 cannot be written in quadratic form Write the expression in quadratic form, if possible. 7b^5 - 4b^3 + 2b 7(b3)2 ­- 4(b3) + 2b b[7(b2)2 ­- 4(b2) + 2] 7(b2)3 -­ 4(b)3 + 2(b) cannot be written in quadratic form. Factor the polynomial completely 2xy^3 ­- 10x 2x(y ­- 5)(y2 + 5y + 10) 2x(y3 ­- 10) 2x(y3 ­- 5) cannot be factored; prime Factor the polynomial completely. 8yz -­ 6z ­- 12y + 9 (2z ­- 3)(4y ­- 3) (2z ­- 3)(4y + 3) (2z -­ 3)(4y + 3)(4y ­- 3) cannot be factored; prime z^3 + 125 (z + 5)(z ­- 5) (z + 5)(z2 -­ 5z + 25) (z -­ 5)(z2 + 5z + 25) cannot be factored; prime