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word problem with x^3+6x^2-x-30 polynomial

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Compose word problem using polynomial function

asked Dec 7, 2013 in ALGEBRA 1 by angel12 Scholar

1 Answer

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Giiven polynomial x^3+6x^2-x-30

For x = 2

(2)^3+6(2)^2-2-30 = 8+24-2-30 = 0

(x-2) s a factor of given polynomial.

By synthetic division

 

 image

X^2+8x+15 = 0

x^2+5x+3x+15 = 0

x(x+5)+3(x+5) = 0

(x+3)(x+5) = 0

x+3 = 0 and x+5 = 0

x = -3, x = -5

x^3+6x^2-x-30 = (x-2)(x+3)(x+5)

Solution of given polynomial x = 2,-3,-5.

answered Dec 28, 2013 by david Expert

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